Sum and Difference of 2 cubes
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Sum and Difference of 2 Cubes
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Factorising the sum and difference of two cubes
Transcript of Sum and Difference of 2 cubes
Sum and Difference of 2 Cubes
Sum and Difference of 2 Cubes
a3 + b3 = (a + b)(a2 − ab + b2 )
a3 − b3 = (a − b)(a2 + ab + b2 )
Sum and Difference of 2 Cubes
a3 + b3 = (a + b)(a2 − ab + b2 )
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP rule
Sum and Difference of 2 Cubes
a3 + b3 = (a + b)(a2 − ab + b2 )
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
Sum and Difference of 2 Cubes
Examples
a3 + b3 = (a + b)(a2 − ab + b2 )
1.
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
y3 + 8a3 =
Sum and Difference of 2 Cubes
Examples
a3 + b3 = (a + b)(a2 − ab + b2 )
1.
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
y3 + 8a3 = y3 + (2a)3
Sum and Difference of 2 Cubes
Examples
a3 + b3 = (a + b)(a2 − ab + b2 )
1.
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
y3 + 8a3 = y3 + (2a)3
= (y + 2a)(y2 − 2ay + 4a2 )
Sum and Difference of 2 Cubes
Examples
a3 + b3 = (a + b)(a2 − ab + b2 )
1.
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
y3 + 8a3 = y3 + (2a)3
= (y + 2a)(y2 − 2ay + 4a2 )
2. s4 − st 3 =
Sum and Difference of 2 Cubes
Examples
a3 + b3 = (a + b)(a2 − ab + b2 )
1.
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
y3 + 8a3 = y3 + (2a)3
= (y + 2a)(y2 − 2ay + 4a2 )
2. s4 − st 3 = s(s3 − t 3)
Sum and Difference of 2 Cubes
Examples
a3 + b3 = (a + b)(a2 − ab + b2 )
1.
a3 − b3 = (a − b)(a2 + ab + b2 )
Remember the SOAP ruleS O AP
S O AP
y3 + 8a3 = y3 + (2a)3
= (y + 2a)(y2 − 2ay + 4a2 )
2. s4 − st 3 = s(s3 − t 3)
= s(s − t)(s2 + st + t 2 )
