Factor completely.
-$$8 x ^ { 2 } - 18$$
A) $2 ( 2 x - 3 ) ^ { 2 }$
B) $2 ( 2 x + 3 ) ( 2 x - 3 )$
C) $( 2 x + 3 ) ( 4 x - 6 )$
D) $( 4 x + 6 ) ( 2 x - 3 )$

Question

Quizplus · Accepted Answer

First, we need to factor out the greatest common factor, which is 2. 
$$8x^2-18=2(4x^2-9)$$
Next, we notice that the expression inside the parentheses is a difference of squares. 
$$4x^2-9=(2x)^2-3^2=(2x+3)(2x-3)$$
Therefore, putting it all together: 
$$8x^2-18=2(4x^2-9)=2(2x+3)(2x-3)$$

Factor Completely 8x2−188 x ^ { 2 } - 188x2−18 A) 2(2x−3)22 ( 2 x - 3 ) ^ { 2 }2(2x−3)2

Factor Completely $8 x ^ { 2 } - 18$ A) $2 ( 2 x - 3 ) ^ { 2 }$