Multiply Binomials (ax + b)(cx +d) (ax + by)(cx +dy)

FOIL or use Distributive Property 1. (3x + 4)(5x +1) Distribute the 3x Multiply (don’t forget to add exponents when multiplying) Distribute the 4 Like terms add-same sign coefficients only (don’t add exp.)

FOIL or use Distributive Property #2) (2x + 5)(3x +7) Distribute the 2x Multiply (don’t forget to add exponents when multiplying) Distribute the 5 Like terms add-same sign coefficients only (don’t add exp.)

FOIL or use Distributive Property #3) (4x + 5)(3x -8) Distribute the 4x Multiply (don’t forget to add exponents when multiplying) Distribute the 5 like terms subtract- opposite signs coefficients only (don’t add exp.) =12x x +15x- 40 =12x 2 – 17x - 40

FOIL or use Distributive Property #4) (3x - 2)(5x + 3) Distribute the 3x Multiply (don’t forget to add exponents when multiplying) Distribute the -2 like terms subtract- opposite signs coefficients only (don’t add exp.) =15x x- 6 =15x 2 – 1x x

FOIL or use Distributive Property #5) (3x - 2)(2x - 7) Distribute the 3x Multiply (don’t forget to add exponents when multiplying) Distribute the -2 like terms Add- same signs coefficients only (don’t add exp.) =6x x - 4x+ 14 =6x 2 – 25x + 14

FOIL or use Distributive Property #6) (4x - 8)(2x - 3) Distribute the 4x Multiply (don’t forget to add exponents when multiplying) Distribute the -8 like terms Add- same signs coefficients only (don’t add exp.) =8x x - 16x+ 24 =8x 2 – 28x + 24

FOIL or use Distributive Property #7) (4x – 2y)(4x – 3y) Distribute the 4x Multiply (don’t forget to add exponents when multiplying) Distribute the -2y like terms add - same signs coefficients only (don’t add exp.) =16x xy - 8xy+ 6y 2 =16x 2 – 20xy + 6y 2

FOIL or use Distributive Property #8) (2x + 9y)(3x + 2y) Distribute the 2x Multiply (don’t forget to add exponents when multiplying) Distribute the 9y Like terms add-same sign coefficients only (don’t add exp.) =6x 2 + 4xy + 27xy + 18y 2 =6x xy + 18y 2

FOIL or use Distributive Property #9) (2x + 5y)(4x - 9y) Distribute the 2x Multiply (don’t forget to add exponents when multiplying) Distribute the 5y like terms subtract- opposite signs coefficients only (don’t add exp.) =8x xy + 20xy - 45y 2 =8x 2 + 2xy - 45y 2

FOIL or use Distributive Property 10) (4x - 5y)(5x + 6y) Distribute the 4x Multiply (don’t forget to add exponents when multiplying) Distribute the -5y like terms subtract- opposite signs coefficients only (don’t add exp.) =20x xy - 25xy- 30y 2 =20x 2 - xy - 30y 2

(x-8) 2 = 11) (x - 8)(x - 8) Distribute the x Multiply (don’t forget to add exponents when multiplying) Distribute the -8 like terms Add- same signs coefficients only (don’t add exp.) =x 2 - 8x + 64 =x 2 – 16x + 64 Write it twice!!!!!!!! (x-8)

(x+2) 2 = 12) (x + 2)(x + 2) Distribute the x Multiply (don’t forget to add exponents when multiplying) Distribute the 2 like terms Add- same signs coefficients only (don’t add exp.) = x 2 + 2x + 4 = x 2 + 4x + 4 Write it twice!!!!!!!! (x+2)

(3x 2 + ½ ) 2 = (3x 2 + ½ ) (3x 2 + ½ ) Distribute the 3x 2 Multiply (don’t forget to add exponents when multiplying) Distribute the ½ like terms Add- same signs coefficients only (don’t add exp.) = 9x 4 Write it twice!!!!!!!!

14) (2x 2 – ¼ ) 2 (2x 2 - ¼ ) (2x 2 - ¼ ) Distribute the 2x 2 Multiply (don’t forget to add exponents when multiplying) Distribute the ¼ like terms Add- same signs coefficients only (don’t add exp.) = 4x 4 Write it twice!!!!!!!!