Answer:
=x ^2+14x+49
Step-by-step explanation:
left parenthesis, start color #11accd, a, end color #11accd, plus, start color #ed5fa6, b, end color #ed5fa6, right parenthesis, squared, equals, start color #11accd, a, end color #11accd, squared, plus, 2, start color #11accd, a, end color #11accd, start color #ed5fa6, b, end color #ed5fa6, plus, start color #ed5fa6, b, end color #ed5fa6, squared
Hint #22 / 2
Using the above pattern, we get:
\begin{aligned} &\phantom{=}(\blueD x+\maroonC 7)^2 \\\\ &=\blueD x^2+2(\blueD x)(\maroonC 7)+\maroonC 7^2 \\\\ &=x^2+14x+49 \end{aligned}
=(x+7)
2
=x
2
+2(x)(7)+7
2
=x ^2+14x+49