Binomials Using FOIL

Multiply

(2x + 3)(x + 3)

• 2x² + 9x + 9

• 2x² + 9x - 9

• 2x² - 8x + 9

• 2x² + 8x + 9

Multiply

(x +2)(x + 3)

• x^2 + 5x + 6

• x^2 + x + 6

• x^2 + 5x + 5

• x^2 + 6x + 6

Multiply

(x - 5)(x + 1)

• x^2 - 4x - 5

• x^2 + 6x - 5

• x^2 - 5x - 4

• x^2 - 4x - 4

Use Foil to solve

(2x-2)(4x-8)

Mathematical Equivalence

ON

Answer explanation

(2x-2)(4x-8)

1. 1. First - 2x times 4x = 8x²

2. 2.Outside- 2x times -8 = -16x

3. 3.Inside - -2 times 4x = -8x

4. 4. Last - -2 times -8 = 16

Combine like terms

8x²-24x+16

Use FOIL to solve: (p + 9)(4p + 2)

• 9p x 4p + 2

• p to the 5th power minus seven

• -18p

• 4p² + 38p + 18

• 5x²+16x+8

• 6x²+12x+8

• 6x²+16x+6

• 6x²+16x+8

(2x + 3)(2x + 3)

• 4x² + 9

• 6x² + 12x + 9

• 4x² + 6x + 9

• 4x² + 12x + 9

• x²+4x+8

• x²+8x+8

• x²+8x+6

• x²+6x+8

Use your memory of special cases: ( w + 6) ( w -6)

• w² + 12w -36

• w² - 12w - 12

• w² - 36

• w² + 36

Multiply: (w + 6) ( w -6)

• w² + 12w -36

• w² - 12w - 12

• w² - 36

• w² + 36