Solve the problem.
-$$( 7 m + 3 ) ^ { 2 }$$
A) $7 m ^ { 2 } + 9$
B) $49 m ^ { 2 } + 42 m + 9$
C) $7 m ^ { 2 } + 42 m + 9$
D) $49 m ^ { 2 } + 9$

Name: Solve the problem. -\[( 7 m + 3 ) ^ { 2 }\] A) $7 m ^ { 2 } + 9$ B) $49 m ^ { 2 } + 42 m + 9$ C) $7 m ^ { 2 } + 42 m + 9$ D) $49 m ^ { 2 } + 9$
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Question

Quizplus · Accepted Answer

To solve the problem, we use the formula for squaring a binomial: $(a + b)^2 = a^2 + 2ab + b^2$. Applying this to $(7m + 3)^2$, we get $49m^2 + 2(7m)(3) + 9$, which simplifies to $49m^2 + 42m + 9$.

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