Question
Factorize the following expressions : $p ^2-\frac{1}{25}$
✓
Answer
$p ^2-\frac{1}{25}$
Here $a=\frac{1}{25}, b=\frac{1}{5}$
$
\begin{aligned}
& p^2-\left(\frac{1}{5}\right)^2=\left(p+\frac{1}{5}\right)\left(p-\frac{1}{5}\right) \\
& \ldots .\left[\left(a^2-b^2\right)=(a+b)(a-b)\right]
\end{aligned}
$
Here $a=\frac{1}{25}, b=\frac{1}{5}$
$
\begin{aligned}
& p^2-\left(\frac{1}{5}\right)^2=\left(p+\frac{1}{5}\right)\left(p-\frac{1}{5}\right) \\
& \ldots .\left[\left(a^2-b^2\right)=(a+b)(a-b)\right]
\end{aligned}
$
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