Find the product.
-$( 12 x y - y ) ^ { 2 }$
A) $144 x ^ { 2 } y ^ { 2 } - 24 x y ^ { 2 } + y ^ { 2 }$
B)144 $144 x ^ { 2 } y ^ { 2 } - 24 x y ^ { 2 } - 2 y ^ { 2 }$
C) $144 x ^ { 2 } y ^ { 2 } - 12 x y ^ { 2 } + y ^ { 2 }$
D) $144 x ^ { 2 } y ^ { 2 } + y ^ { 2 }$

Question

Quizplus · Accepted Answer

To find the product of $(12xy - y)^2$, we use the formula $(a - b)^2 = a^2 - 2ab + b^2$. Here, $a = 12xy$ and $b = y$, so $a^2 = (12xy)^2 = 144x^2y^2$, $2ab = 2(12xy)(y) = 24xy^2$, and $b^2 = y^2$. Therefore, the product is $144x^2y^2 - 24xy^2 + y^2$.

Find the Product (12xy−y)2( 12 x y - y ) ^ { 2 }(12xy−y)2

Find the Product $( 12 x y - y ) ^ { 2 }$