Factorise the following using appropriate identities :$x^{2}-\frac{y^{2}}{100}$
Factorise the following using appropriate identities :$x^{2}-\frac{y^{2}}{100}$
We have $x ^{2}-\frac{ y ^{2}}{100} =( x )^{2}-\left(\frac{ y }{10}\right)^{2}$
$=\left( x +\frac{ y }{10}\right)\left( x -\frac{ y }{10}\right)$ $\left[\right.$ Using $\left.a^{2}-b^{2}=(a+b)(a-b)\right]$
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