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

Answer:

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

Step-by-step explanation:

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