Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers.
-$( 5 x + y ) ^ { 2 }$
A) $25 x ^ { 2 } + 10 x y + y ^ { 2 }$
B) $25 x ^ { 2 } + 5 x y + y ^ { 2 }$
C) $25 x ^ { 2 } + 10 x y + 2 y ^ { 2 }$
D) $5 x ^ { 2 } + 10 x y + y ^ { 2 }$

Question

Quizplus · Accepted Answer

The square of a binomial $(a + b)^2$ is given by $a^2 + 2ab + b^2$. Applying this to $(5x + y)^2$, we get $25x^2 + 10xy + y^2$.

Multiply Using One of the Rules for the Square of a Binomial