Solve the problem.
-$$( 7 x + 10 y ) ^ { 2 }$$
A) $7 x ^ { 2 } + 140 x y + 100 y ^ { 2 }$
B) $7 x ^ { 2 } + 100 y ^ { 2 }$
C) $49 x ^ { 2 } + 140 x y + 100 y ^ { 2 }$
D) $49 x ^ { 2 } + 100 y ^ { 2 }$

Question

Quizplus · Accepted Answer

This problem uses the formula for squaring a binomial, $(a + b)^2 = a^2 + 2ab + b^2$. Applying this to $(7x + 10y)^2$, we get $49x^2 + 2(7x)(10y) + 100y^2$, which simplifies to $49x^2 + 140xy + 100y^2$.

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