Find the product.
-$$( - 5 x + 3 y ) ( 2 x + 12 y + 1 )$$
A) $- 10 x ^ { 2 } - 54 x y - 54 y ^ { 2 }$
B) $- 10 x ^ { 2 } + 6 x y - 5 x + 36 y ^ { 2 } + 3 y$
C) $- 10 x ^ { 2 } - 54 x y - 5 x + 36 y ^ { 2 } + 3 y$
D) $- 10 x ^ { 2 } - 60 x y - 5 x + 36 y ^ { 2 }$

Question

Quizplus · Accepted Answer

To find the product, distribute each term in the first polynomial across each term in the second polynomial: $(-5x)(2x) + (-5x)(12y) + (-5x)(1) + (3y)(2x) + (3y)(12y) + (3y)(1)$. This simplifies to $-10x^2 - 60xy - 5x + 6xy + 36y^2 + 3y$, which further simplifies to $-10x^2 - 54xy - 5x + 36y^2 + 3y$.

Find the Product (−5x+3y)(2x+12y+1)( - 5 x + 3 y ) ( 2 x + 12 y + 1 )(−5x+3y)(2x+12y+1)

Find the Product $( - 5 x + 3 y ) ( 2 x + 12 y + 1 )$