Factor.
-$$84 x ^ { 2 } + 49 x y + 7 y ^ { 2 }$$
A) $( 21 x + 7 y ) ( 4 x + y )$
B) $7 ( 3 x + y ) ( 4 x + y )$
C) $7 ( 3 x - y ) ( 4 x - y )$
D) $( 3 x + y ) ( 7 x + 3 y )$

Question

Quizplus · Accepted Answer

The given expression can be factored by first factoring out the greatest common factor (GCF), which is 7. This leaves us with $7(12x^2 + 7xy + y^2)$. Recognizing this as a perfect trinomial square, it can be further factored into $7(3x + y)(4x + y)$.

Factor - 84x2+49xy+7y284 x ^ { 2 } + 49 x y + 7 y ^ { 2 }84x2+49xy+7y2

Factor
- $84 x ^ { 2 } + 49 x y + 7 y ^ { 2 }$