Post on 21-Jan-2017
SECOND QUARTER’s PERFORMANCE TASK:SPECIAL PRODUCTSICL: Showcase of Solution and Final Answer
Group Name: CYCLOID
Second Quarter Grade 8 Mathematics Performance Task Special Products 2
Krystal Mizona
Dustine Villa
John Torres
Krystal Mizona
Second Quarter Grade 8 Mathematics Performance Task Special Products 3
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Square of a Binomial
Product of SDTT
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Name:SQUARE OF A BINOMIAL● EASY QUESTION:● (4 + b)
SOLUTION:(4)2 + 2(4 + b) + (b)2
ANSWER:16 + 8b + b2
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:SQUARE OF A BINOMIAL● AVERAGE QUESTION:● (13y + 32x)
SOLUTION:(13y)2 + 2(13y + 32x) + (32x)2
ANSWER:169y2 + 832yx + 1024x2
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Name:SQUARE OF A BINOMIAL● CHALLENGING QUESTION:(33y3 + 21k2)
SOLUTION:(33y3)2 + 2(33y3 + 21k2) + (21k2)2
ANSWER:1089y6 + 1386y3k2 + 441k4
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Name:Product of Sum and Difference of Two Terms
● EASY QUESTION:● (a - b) (a + b)
SOLUTION:(a)2 (-b)2
ANSWER:a2 - b2
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:Product of Sum and Difference of Two Terms
● AVERAGE QUESTION:(2.43 + a) (2.43 - a)
SOLUTION:(2.43)2 (-a)2
ANSWER:5.9049 - a^2
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E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
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Name:Product of Sum and Difference of Two Terms
● CHALLENGING QUESTION:(½ y - 8u4) (½ y + 8u4)
SOLUTION:(½ y)2 + (8u4)2
ANSWER:¼ y2 - 64u8
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Name:SQUARE OF A TRINOMIAL● EASY QUESTION:(m + 4 + 9n)
SOLUTION:(m)2 + (4)2 + (9n)2 + 2(m)(4) + 2(m)(9n) + 2(4)(9n)
ANSWER:m2 + 16 + 81n2 + 8m + 18nm + 72n
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Name:SQUARE OF A TRINOMIAL● AVERAGE QUESTION:(4.6 + 5m + 39y)
SOLUTION:(4.6)2 + (5m)2 + (39y)2 + 2(4.6)(5m) + 2(4.6)(39y) + 2(5m)(39y)
ANSWER:21.16 + 25m2 + 1521y2 + 46m + 358.8y + 390my
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E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
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Name:SQUARE OF A TRINOMIAL● CHALLENGING QUESTION:(17t4 + 34a + 2.2x3)
SOLUTION:(17t4)2 + (34a)2 + (2.2x3)2 + 2(17t4)(34a) + 2(17t4)(2.2x3) + 2(34a)(2.2x3) ANSWER:289t8 + 1156a2 + 4.84x6 + 1156t4a + 74.8t4x3 + 149.6ax3
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Name:PRODUCT OF A BINOMIAL AND A TRINOMIAL
● EASY QUESTION:(8 + m) (64 - 16m + m2)
SOLUTION:(8)3 (m)3
ANSWER:512 + m3
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Name:PRODUCT OF A BINOMIAL AND A TRINOMIAL
● AVERAGE QUESTION:(12s + 5i2) (144s2 - 120si2 + 21i4)
SOLUTION:(12s)3 (5i2)3
ANSWER:1728s3 + 125i6
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Name:PRODUCT OF A BINOMIAL AND A TRINOMIAL
● CHALLENGING QUESTION:(42s2t + 33a4r) (1764s4t - 2772s2ta4r + 1089a8r)
SOLUTION:(42s2t)3 (33a4r)3
ANSWER:74088s6t + 35937a12r
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Name:CUBE OF A BINOMIAL● EASY QUESTION:(4 + b)3
SOLUTION:(4)3 + 3(4)2(b) + 3(4)(b)2 + (b)3
ANSWER:64 + 48b + 12b2 + b3
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Name:CUBE OF A BINOMIAL● AVERAGE QUESTION:(35y + 14b)3
SOLUTION:(35y)3 + 3(35y)2(14b) + 3(35y)(14b)2 + (14b)3
ANSWER:42875y3 + 51450y2b + 20580yb2 + 2744b3
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E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
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Name:CUBE OF A BINOMIALCHALLENGING QUESTION:(21y4 + 17r3)
SOLUTION:(21y4)3 + 3(21y4)2(17r3) + 3(21y4)(17r3)2 + (17y3)3
ANSWER:9261y12 + 22491y8r3 + 18207y4r6 + 4913y9
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E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
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Dustine Villa
Second Quarter Grade 8 Mathematics Performance Task Special Products 19
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Name: VILLA, DUSTINESQUARE OF A BINOMIAL○ EASY QUESTION:
Square the Binomial (4+5y4).
SOLUTION:(4)2 + 2(4)(5y4) + (5y4)2
FINAL ANSWER:16 + 40y4 + 25y8
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Name:VILLA, DUSTINESQUARE OF A BINOMIAL○ AVERAGE QUESTION: Square the Binomial (4x - 2.3y2).
SOLUTION: (4x)2 + 2(4x)(-2.3y2) + (-2.3y2)2
FINAL ANSWER: 16x2 - 18.4xy2 + 5.29y4
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Name:VILLA, DUSTINESQUARE OF A BINOMIAL○ CHALLENGING QUESTION: Square the Binomial (1/2c7y9 - 2.1x2n5)
SOLUTION:(1/2c7y9)2 + 2(1/2c7y9)(-2.1x2n5) + (2.1x2n5)2
FINAL ANSWER:0.25c14y18 - 2.1c7y9x2n5 + 4.41x4n10
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:VILLA, DUSTINEProduct of Sum and Difference of Two Terms○ EASY QUESTION: (5 - n) (5 + n)
SOLUTION:(5)2 -(n)2
FINAL ANSWER:25 - n2
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Second Quarter Grade 8 Mathematics Performance Task Special Products
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Name:VILLA, DUSTINEProduct of Sum and Difference of Two Terms○ AVERAGE QUESTION: (21d + x3y7)(21d - x3y7)
SOLUTION:(21d)2 -(x3y7)2
FINAL ANSWER:441d2 - x6y14
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Name:VILLA, DUSTINEProduct of Sum and Difference of Two Terms○ CHALLENGING QUESTION: [( 8 + a ) - 18] [( 8 +
a ) +18]
SOLUTION: (8)2 + 2(8)(a) + (-a)2 - (18)2
FINAL ANSWER: 64 + 16a + a2 - 324
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Name:VILLA, DUSTINESQUARE OF A TRINOMIAL○ EASY QUESTION: (m2 + 3n + 2)2
SOLUTION: (m2)2 + (3n)2 + (2)2 + 2(m2)(3n) + 2(m2)(2) + 2(3n)(2)
FINAL ANSWER:m4 + 3n4 + 4 + 6m2n + 4m2 + 12n
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Name:VILLA, DUSTINESQUARE OF A TRINOMIAL○ AVERAGE QUESTION: (0.3x4 + 2.1m3 - 1.2d5)2
SOLUTION:(0.3x4)2 + ( 2.1m3)2 + (-1.2d5)2 + 2(0.3x4)(2.1m3) + 2(0.3x4) (-1.2d5) + 2( 2.1m3)(-1.2d5)
FINAL ANSWER: 0.09x8 + 4.41m6 + 1.44d10 + 1.26x4m3 - 0.72x4d5 - 5.04m3d5
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Name:VILLA, DUSTINESQUARE OF A TRINOMIAL○ CHALLENGING QUESTION:Find the area of a square lot whose side measures (6d +7c2 - 21n) meters.
SOLUTION: S2 = (6d +7c2 - 21n) 2
(6d)2 + (7c2)2 + (-21n)2 + 2(6d)(7c2) + 2(6d)(-21n) + 2(7c2)(-21n)
FINAL ANSWER: 36d2 + 49c4 + 441n2 + 84dc2 - 252dn - 294c2n
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Name:VILLA, DUSTINEPRODUCT OF A BINOMIAL AND A TRINOMIAL○ EASY QUESTION: (2 + 4x) (4 - 8x +16x)
SOLUTION:(2)3 + (4x)3
FINAL ANSWER:8 + 64x3
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Name:VILLA, DUSTINEPRODUCT OF A BINOMIAL AND A TRINOMIAL○ AVERAGE QUESTION: (12r6d - 2m8b) (144r12d +
24r6dm8b+ 4m8b)
SOLUTION:(12r6d)3 + (-2m8b)3
FINAL ANSWER1,728r18d + 8m24b
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Name:VILLA, DUSTINEPRODUCT OF A BINOMIAL AND A TRINOMIAL○ CHALLENGING QUESTION: Find the area of a rectangular lot whose length and width measures (0.5d + 3.4m4n2)(0.25d2 - 1.7dm4n2 + 11.56m8n4)
SOLUTION:(0.5d)3 + (3.4m4n2)3
FINAL ANSWER:0.125d + 39.204m12n6 square meters.
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Name:VILLA, DUSTINECUBE OF A BINOMIAL○ EASY QUESTION: (a + b5)3
SOLUTION: (a)3 + 3(a)2(b5) + 3(a)(b5)2 + (b5)3
FINAL ANSWER:a3 + 3a2b5 + 3ab10 + b15
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Name:VILLA, DUSTINECUBE OF A BINOMIAL○ AVERAGE QUESTION: (1.8g8 - 5v4)3
SOLUTION:(1.8g8)3 + 3(1.8g8)2(- 5v4) + 3(1.8g8)(- 5v4)2 + (- 5v4)3
FINAL ANSWER:5.832g24 - 32.4g16v4 + 135g8v8 - 125v12
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Name:VILLA, DUSTINECUBE OF A BINOMIAL○ CHALLENGING QUESTION: Find the volume of a cube whose edge measure ( 5v3 + 10x5) meters.
SOLUTION:( 5v3)3 + 3( 5v3)2 (10x5) + 3( 5v3)(10x5)2 + (10x5)3
FINAL ANSWER:125v9 + 750v6x5 + 1,500v3x10 + 1,000x15 cubic meters.
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CARLO TORRES
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∗EASY QUESTION:
( H+B )^2
SOLUTION:( H )^2+2( H ) ( B )+( G )^2
ANSWER:H^2+2HB+G^2
Name:SQUARE OF A BINOMIAL
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∗AVERAGE QUESTION:
(c^3b-d^2)2
SOLUTION:(c^3b)2+2(c^3b)(d^2)+(d^2)2
ANSWER:c^6b+c^6bc^4+c4
Name:SQUARE OF A BINOMIAL
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Second Quarter Grade 8 Mathematics Performance Task Special Products 37
∗CHALLENGING QUESTION:
(½+10y^5)^2
SOLUTION:(½)^2+2(½)(10y^5)+(10y^5)^2
ANSWER:¼+10y^5+100y^10
Name:SQUARE OF A BINOMIAL
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Second Quarter Grade 8 Mathematics Performance Task Special Products 38
∗EASY QUESTION:
(c+a)(a-c)
SOLUTION:( c )^2 ( a )^2
ANSWER:c^2-a^2
Name:Product of Sum and Difference of Two
Terms
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∗AVERAGE QUESTION:
(a^2 + b^3)(a^2 + b^3)
SOLUTION:(a^2)^2 (b^3)^2
ANSWER:a^4 - b^6
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Second Quarter Grade 8 Mathematics Performance Task Special Products 40
∗CHALLENGING QUESTION:
[(a+b) - 12][(a+b) - 12]
SOLUTION:[(a+b) - 12] [(a+b)+12]ANSWER:a^2+2ab+n^2 - 144
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Second Quarter Grade 8 Mathematics Performance Task Special Products 41
∗EASY QUESTION:
(x+4y+4)^2
SOLUTION:(X)^2+(4y)^2+(4)^2+2(x)(4y)+2(x)(4) + 2(4y)(4)
ANSWER:x^2+16y^2+16+8xy+ 8x +16y
Name:SQUARE OF A TRINOMIAL
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Second Quarter Grade 8 Mathematics Performance Task Special Products 42
∗AVERAGE QUESTION:
4a^2+12ab+9b^2
SOLUTION:(4a^2)^2+(12ab)^2+(9b^2)^2+2(4a^2)(12ab)+2(4a^2)(9b^2)+2(12ab)(9b^2)
ANSWER:16a^4+144ab^2+81b^4+96ab^4+72b^8+216ab^4
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Second Quarter Grade 8 Mathematics Performance Task Special Products 43
∗CHALLENGING QUESTION:(9/3a^3-4x^4+12)^2
SOLUTION:(9/3a^3)^2 + (-4b^4)^2 + (12)^2 + 2(9/3a^3)(-4b^4) + 2(9/3a^3)(12) + 2(-4b^4)(12)ANSWER:9a^6 + 16b^8 + 144 - 24a^4b^3 + 72a^3 - 96b^4
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∗EASY QUESTION:
(b^2+2) (b^4-4b^2+4)
SOLUTION:(b^2)^3 (2)^3
ANSWER:b^6+ 8
Name:PRODUCT OF A BINOMIAL AND A
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∗AVERAGE QUESTION:(4a^2-b^3) (16a^4+8a^2b^3+b^6)
SOLUTION:(4a^2)^3 (b^3)^3
ANSWER:64a^6+b^9
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∗CHALLENGING QUESTION:
(2/3g^2+4/5h) (4/9g^4-16/15g^2h+16/25h^2)
SOLUTION:(2/3g^2)^3 ( 4/5h)^3
ANSWER:8/27g^6+64/125h^3
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∗EASY QUESTION:
(b+a)^3SOLUTION:
(b)^3+3(b)^2(a)+3(b)(a)^2+(a)^3ANSWER:b^3 +3b^2a+3ba^2+a3
Name:CUBE OF A BINOMIAL
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Second Quarter Grade 8 Mathematics Performance Task Special Products 48
∗AVERAGE QUESTION:
(1.2+4.6)^3
SOLUTION:(1.2)^3+3(1.2)^2 (4.6)+3(1.2) (4.6)^2+(4.6)^3
ANSWER:1.728+16.56+76.176+97.336
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∗CHALLENGING QUESTION:
(2/5b^3+⅗)^2
SOLUTION:(2/5b^3)^3+3(2/5b^3)^2 (⅗)+3(2/5b^3) (⅗)^2+(⅗)^3
ANSWER:8/125+9/25b^6+18/25b^3+27/125
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RECLECTIONGroup Name _CYCLOID_
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Krystal Mizona
In this Peta it helped me in creating my own problem to solve. This peta also helped our environment in saving trees because this peta is paperless. It helped me to understand more about solving all the problems in math algebra. It’s not easy for me to create a problem.
Second Quarter Grade 8 Mathematics Performance Task Special Products 52
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Dustine VillaI LEARNED HOW TO TO HELP WITHOUT CAUSING BAD EFFECTS TO THE SOCIETY THROUGH THIS PAPERLESS PETA. I ALSO LEARNED TO APPRECIATE OUR TEACHERS WHO GIVE TIME TO MAKE POWERPOINTS FOR US TO UNDERSTAND THE LESSONS THAT WOULD REALLY BE HOPEFUL FOR US IN THE FUTURE. I HAVE ALSO UNDERSTAND THE EFFECT THIS PETA WOULD MAKE TO EVERYONE , SPECIALLY TO THE STUDENTS LIKE ME. I HAVE FULLY UNDERSTAND AND PRACTICED THE LESSONS (SPECIAL PRODUCTS) THROUGH THIS PETA/ICL 1. I THANK GOD AND SIR CAPARAS FOR THIS OPPORTUNITY TO HELP AND PRACTICE SPECIAL PRODUCTS AND I LOOK FORWARD TO MORE PETAS LIKE THIS.Second Quarter Grade 8 Mathematics Performance Task Special Products 53
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John Torres
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I have learned many things.Like solving my own problem,Like solving for square of trinomial and also cube of binomial.And also i know the steps of how to solve algebra in easy way.