Multiply.
-$( 3 \sqrt { 3 } + 5 \sqrt { 5 } ) ^ { 2 }$
A) $152 + 30 \sqrt { 15 }$
B) 152
C) $152 + 15 \sqrt { 15 }$
D) $34 + 30 \sqrt { 15 }$

Question

Quizplus · Accepted Answer

The expression can be expanded using the formula $(a+b)^2 = a^2 + 2ab + b^2$. Here, $a = 3\sqrt{3}$ and $b = 5\sqrt{5}$. Squaring each and multiplying gives $9*3 + 2*3\sqrt{3}*5\sqrt{5} + 25*5 = 27 + 30\sqrt{15} + 125 = 152 + 30\sqrt{15}$.

Multiply - (33+55)2( 3 \sqrt { 3 } + 5 \sqrt { 5 } ) ^ { 2 }(33​+55​)2

Multiply
- $( 3 \sqrt { 3 } + 5 \sqrt { 5 } ) ^ { 2 }$