Factor completely.
-$$4 x ^ { 2 } - 25$$
A) $( 2 x + 5 ) ( 2 x - 5 )$
B) $( 2 x - 5 ) ^ { 2 }$
C) $( 4 x + 1 ) ( x - 25 )$
D) $( 2 x + 5 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

This quadratic expression is a difference of squares, which can be factored into the product of the sum and difference of the square roots of the two terms. Therefore,

\begin{align*}
4 x ^ { 2 } - 25 &= \left( 2 x ight) ^ { 2 } - 5 ^ { 2 }\
&= \left( 2 x + 5 ight) \left( 2 x - 5 ight)
\end{align*}

So the correct answer is A).

Factor Completely 4x2−254 x ^ { 2 } - 254x2−25 A) (2x+5)(2x−5)( 2 x + 5 ) ( 2 x - 5 )(2x+5)(2x−5)

Factor Completely $4 x ^ { 2 } - 25$ A) $( 2 x + 5 ) ( 2 x - 5 )$