Factor completely.
-$24 x ^ { 2 } + 14 x y + 2 y ^ { 2 }$
A) $( 6 x + 2 y ) ( 4 x + y )$
B) prime
C) $2 ( 3 x - y ) ( 4 x - y )$
D) $2 ( 3 x + y ) ( 4 x + y )$

Question

Quizplus · Accepted Answer

The given expression can be factored by first factoring out the greatest common factor, which is 2, resulting in $2(12x^2 + 7xy + y^2)$. This can then be factored into $2(3x + y)(4x + y)$, matching option D.

Factor Completely 24x2+14xy+2y224 x ^ { 2 } + 14 x y + 2 y ^ { 2 }24x2+14xy+2y2

Factor Completely $24 x ^ { 2 } + 14 x y + 2 y ^ { 2 }$