Factor the expression completely. {8x}^(2) - 18 O A. 2(2x - 3)(2x - 3) O B. 2(42 - 9) O C. 2(2x+3)(2x-3) O D. 2(4x + 3)(x - 3)​

Question

Factor the expression completely.


`{8x}^(2) - 18`

O A. 2(2x - 3)(2x - 3)
O B. 2(42 - 9)
O C. 2(2x+3)(2x-3)
O D. 2(4x + 3)(x - 3)​

Answer 1

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

Explanation:

`8 {x}^(2) - 18 \\ = 2 * 4 {x}^(2) - 2 * 9 \\ = 2(4 {x}^(2) - 9) \\ = 2 \{( {2x})^(2) - ( {3)}^(2) \} \\ = 2(2x + 3)(2x - 3) \\`