Perform the indicated operation and simplify. $\left( 5 x ^ { 4 } + 6 y ^ { 6 } \right) ^ { 2 }$
A) $25 x ^ { 8 } - 60 x ^ { 4 } y ^ { 6 } - 36 y ^ { 12 }$
B) $25 x ^ { 8 } + 60 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }$
C) $25 x ^ { 8 } + 30 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }$
D) $25 x ^ { 8 } - 30 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }$
E) $25 x ^ { 8 } - 60 x ^ { 4 } y ^ { 6 } + 36 y ^ { 12 }$

Question

Quizplus · Accepted Answer

To square the given expression, apply the formula $(a + b)^2 = a^2 + 2ab + b^2$. Squaring each term and multiplying gives $25x^8 + 60x^4y^6 + 36y^{12}$.

Perform the Indicated Operation and Simplify (5x4+6y6)2\left( 5 x ^ { 4 } + 6 y ^ { 6 } \right) ^ { 2 }(5x4+6y6)2

Perform the Indicated Operation and Simplify $\left( 5 x ^ { 4 } + 6 y ^ { 6 } \right) ^ { 2 }$