Multiply.
-$$( 5 x + 11 y ) ^ { 2 }$$
A) $5 x ^ { 2 } + 121 y ^ { 2 }$
B) $25 x ^ { 2 } + 110 x y + 121 y ^ { 2 }$
C) $5 x ^ { 2 } + 110 x y + 121 y ^ { 2 }$
D) $25 x ^ { 2 } + 121 y ^ { 2 }$

Question

Quizplus · Accepted Answer

To multiply $(5x + 11y)^2$, use the formula $(a + b)^2 = a^2 + 2ab + b^2$. Applying this, $a = 5x$ and $b = 11y$, so $a^2 = (5x)^2 = 25x^2$, $2ab = 2(5x)(11y) = 110xy$, and $b^2 = (11y)^2 = 121y^2$. Therefore, the expansion is $25x^2 + 110xy + 121y^2$.

Multiply - (5x+11y)2( 5 x + 11 y ) ^ { 2 }(5x+11y)2

Multiply
- $( 5 x + 11 y ) ^ { 2 }$