Perfect Squares and Difference of Perfect Squares - Questions

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Question 1
42855

Expand the perfect square \( {{\left(7+{p} \right)}^{2}} \)

\(p^2+14p+49\)

$$
\begin{aligned}
&(7+p)^2\\
&=(p+7)^2\\
&=p^2+2\times p \times 7+7^2\\&\\
\text{As}~(a+b)^2&=a^2+2ab+b^2\\ &\\
&=p^2+14p+49
\end{aligned}
$$

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