MULTIPLICATION OF

BINOMIALSby FOIL method

CONCEPT

8 6x

48

8

6

CONCEPT

4a 3bx

12ab4a

3b

CONCEPT

2a

(2a+b)(a+3b)a

b

3b

3b2ab

6ab2a2

CONCEPT

3b2ab6ab2a2 +++

=2a2+7ab+3b2

=

3b26ab ab2a2 +++=First+Outer+Inner+Last

=

2a=( + ab) +3b( )

FOIL Method

FOIL METHOD It is a mnemonic use for the standard

method in multiplying two binomial

FOIL stands for First, Outer, Inner, and Last

FOIL METHOD First means multiply the terms which

occur first in each binomial. Then Outer means multiply the

outermost terms in the product. Inner means multiply the innermost two

terms. Last means multiply the terms which

occur last in each binomial. Then simplify the products and combine

any like terms which may occur.

EXAMPLES

=(3x+2)(4x+1)

=12x2+3x +2+8x

Find the product of (3x+2)(4x+1)

=12x2+11x+2

EXAMPLES

=(x+4)(5x- 2)

=5x2-2x -8+20x

Find the product of (x+4)(5x+2)

=5x2+18x-8

EXAMPLES

=(6a+2)(2a+7)

=12a2+42a +14+4a

Find the product of (3x+2)(4x+1)

=12xa+46a+14

EXAMPLES

=(x+6)(2x-2)

=2x2-2x -12+12x

Find the product of (3x+2)(4x+1)

=2x2+10x-12