Factor the trinomial, if possible. $10 x ^ { 2 } + 47 x y + 42 y ^ { 2 }$
A) $( 5 x - 6 y ) ( 2 x - 7 y )$
B) $( 5 x - 6 y ) ( 2 x + 7 y )$
C) $( 5 x + 6 y ) ( 2 x - 7 y )$
D) $( 5 x + 6 y ) ( 2 x + 7 y )$
E)The trinomial is prime.

Question

Quizplus · Accepted Answer

The correct factorization of $10x^2 + 47xy + 42y^2$ is $(5x + 6y)(2x + 7y)$, which matches choice D. This is because when you expand $(5x + 6y)(2x + 7y)$, you get $10x^2 + 35xy + 12xy + 42y^2$, which simplifies to $10x^2 + 47xy + 42y^2$.

Factor the Trinomial, If Possible 10x2+47xy+42y210 x ^ { 2 } + 47 x y + 42 y ^ { 2 }10x2+47xy+42y2

Factor the Trinomial, If Possible $10 x ^ { 2 } + 47 x y + 42 y ^ { 2 }$