Factorise the following by using suitable identity
$\frac{x^{2}}{100} - y^{2}$

Open in App

Solution

$\frac{x^{2}}{100} - y^{2}$
$\Rightarrow {(\frac{x}{10})}^{2} - (y)^{2} = (\frac{x}{10} - y) (\frac{x}{10} + y)$
$[∵ a^{2} - b^{2} = (a - b) (a + b)]$

Suggest Corrections

Similar questions

x^{2} - y^{2} + 2 x + 1

x^{2} + 6 x y + 9 y^{2}

x^{2} - 4 x + 4

a^{4} - {16 b}^{4}

Question 92 (xxx)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{2} - \frac{y^{2}}{100}$

Join BYJU'S Learning Program