Multiply.
-$( 7 x + 12 ) ^ { 2 }$
A) $7 x ^ { 2 } + 168 x + 144$
B) $49 x ^ { 2 } + 168 x + 144$
C) $49 x ^ { 2 } + 144$
D) $7 x ^ { 2 } + 144$

Question

Quizplus · Accepted Answer

To square the binomial $(7x + 12)^2$, apply the formula $(a + b)^2 = a^2 + 2ab + b^2$. Here, $a = 7x$ and $b = 12$, so $a^2 = (7x)^2 = 49x^2$, $2ab = 2 \cdot 7x \cdot 12 = 168x$, and $b^2 = 12^2 = 144$. Adding these together gives $49x^2 + 168x + 144$.

Multiply - (7x+12)2( 7 x + 12 ) ^ { 2 }(7x+12)2

Multiply
- $( 7 x + 12 ) ^ { 2 }$