Solve the problem.
-$$[ ( 7 x - 2 ) + 2 y ] ^ { 2 }$$
A) $49 x ^ { 2 } - 28 x + 28 x y - 8 y + 4 y ^ { 2 }$
B) $49 x ^ { 2 } - 14 x + 4 + 14 x y + 4 y + 4 y ^ { 2 }$
C) $49 x ^ { 2 } - 28 x + 4 + 14 x y + 4 y + 4 y ^ { 2 }$
D) $49 x ^ { 2 } - 28 x + 4 + 28 x y - 8 y + 4 y ^ { 2 }$

Question

Quizplus · Accepted Answer

To solve the problem, we expand the square of the binomial $[(7x - 2) + 2y]^2$. This can be done by applying the formula $(a + b)^2 = a^2 + 2ab + b^2$, where $a = 7x - 2$ and $b = 2y$. Expanding this, we get $49x^2 - 28x + 4 + 28xy - 8y + 4y^2$, which matches option D.

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