Question
Factorise the following using the identity $a^2-b^2=(a+b)(a-b)$.
$\frac{\text{x}^2}{25}-625$
$\frac{\text{x}^2}{25}-625$
✓
Answer
$\frac{\text{x}^2}{25}-625$$=\Big(\frac{\text{x}}{5}\Big)^2-(25)^2$
$=\Big(\frac{\text{x}}{5}-25\Big)\Big(\frac{\text{x}}{5}-25\Big)$
$=\Big(\frac{\text{x}}{5}-25\Big)\Big(\frac{\text{x}}{5}-25\Big)$
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