Question

Factor the expression completely

8x2-18

A. 2(2x - 3)(2x + 3)

B. 2(2x+3)(2x - 3)

C. 2(4x2 – 9)

D. 2(4x+3)(x - 3)​

Answer 1

B. 2( 2 x + 2 ) ( 2x - 3 )

Explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

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

Answer 2

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

Explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)

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