Factor completely.
-$175 x ^ { 2 } - 28$
A) $( 35 x + 14 ) ( 5 x - 2 )$
B) $7 ( 5 x + 2 ) ( 5 x - 2 )$
C) $7 ( 5 x - 2 ) ^ { 2 }$
D) $( 5 x + 2 ) ( 35 x - 14 )$

Question

Quizplus · Accepted Answer

The expression $175x^2 - 28$ can be factored by first taking out the greatest common factor, which is 7, resulting in $7(25x^2 - 4)$. The expression inside the parentheses is a difference of squares, which can be factored as $(5x)^2 - 2^2$, leading to the final factorization of $7(5x + 2)(5x - 2)$.

Factor Completely 175x2−28175 x ^ { 2 } - 28175x2−28 A) (35x+14)(5x−2)( 35 x + 14 ) ( 5 x - 2 )(35x+14)(5x−2)

Factor Completely $175 x ^ { 2 } - 28$ A) $( 35 x + 14 ) ( 5 x - 2 )$