# Multiplication of Binomial by Binomial

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**FOIL**method.

**F**=

**First terms**

**O**=

**Outer terms**

**I**=

**Inner terms**

**L**=

**Last terms**

**Example:**

1)

2) (2x -1)(5x +6)

**Solution :**

= (2x

**.**5x)+ (2x

**.**6) + (-1

**.**5)+ (-1

**.**6)

= 10x

^{2}

__+ 12x - 5x__-6

**(add like terms)**

= 10x

^{2}+ 7x - 6

3) (8x - 3)( 9x -2)

**Solution :**

= (8x

**.**9x)+ (8x

**.**-2)+ (-3

**.**9x) + (-3

**.**-2)

= 72x

^{2}- 16x - 27x + 6

=72x

^{2}- 43x + 6

4) (y + 2) ( y - 2)

**Solution :**

= (y

**.**y)+ (7

**.**-2)+ (2

**.**y)+ (2

**.**-2)

= y

^{2}+ 2y - 2y - 4

= y

^{2}+ 0 - 4

= y

^{2}- 4

5) (x

^{2}+ 5)(x

^{2}+ 10)

**Solution :**

= (x

^{2}

**.**x

^{2})+ (x

^{2}

**.**10)+ (5

**.**x

^{2})+ (5

**.**10)

= x

^{2 + 2}+ 10x

^{2}+ 5x

^{2}+ 50

= x

^{4}+ 15x

^{2}+ 50

6) (2x

^{2}+ 8)(x

^{2}- 7)

**Solution :**

= (2x

^{2}

**.**x

^{2})+ (2x

^{2}

**.**(-7)+ (8

**.**x

^{2})+ (8

**.**(-7)

= 2x

^{2 + 2}- 14x

^{2}+ 8x

^{2}-56

= 2x

^{4}- 6x

^{2}- 56

____________________________________________________________________

**Practice**

1) (4x + 2) (2x - 4)

2) (x + 2) (x - 2)

3) (2a - 6) (a - 4)

4) (5b + 2) (3a + 4)

5) (-2a + 2) (3a + 9)

**Multiplication of algebraic expressions**

• Multiplication of Monomial by Binomial

• Multiplication of Binomial by Binomial

• Multiplication of Polynomial by Monomial

• Multiplication of Polynomial by Binomial

• Multiplication of Monomial by Binomial

• Multiplication of Binomial by Binomial

• Multiplication of Polynomial by Monomial

• Multiplication of Polynomial by Binomial

**Algebraic Expressions page**

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