Question

Factoring 8x^2-12x-8

Answer 1

Answer:

⇒ $4(x-2)(2x+1)$

Step-by-step explanation:

1) Common factor

⇒ $8x^2-12x-8$

⇒ $4(2x^2-3x-2)$

2) Use the sum-product pattern

⇒ $4(2x^2-3x-2)$

⇒ $4(2x^2+x-4x-2)$

3) Common factor from the two pairs

⇒ $4(2x^2+x-4x-2)$

⇒ $4(x(2x+1)-2(2x+1))$

4) Rewrite in factored form

⇒ $4(x(2x+1)-2(2x+1))$

⇒ $4(x-2)(2x+1)$

Answer 2

Answer:

( 8x - 4 ) ( x - 2 )

Step-by-step explanation:

8x² - 12x - 8

8x² - 16x + 4x - 8

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

( 8x - 4 ) ( x - 2 )