Year 9 Maths Algebraic Techniques

Perfect Squares and Difference of Perfect Squares

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Questions

Question 1

42855

Answer

$p^2+14p+49$

Worked Solution

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

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