Q

# Factorise the following using appropriate identities: (iii) x ^2 - y ^2 / 100

3.(iii) Factorise the following using appropriate identities:

(iii)    $x^2 - \frac{y^2}{100}$

Views

We can rewrite   $x^2 - \frac{y^2}{100}$  as

$\Rightarrow x^2 - \frac{y^2}{100} = (x)^2-\left(\frac{y}{10} \right )^2$

Using identity  $\Rightarrow a^2-b^2 = (a-b)(a+b)$

Here, $a= x \ \ and \ \ b = \frac{y}{10}$

Therefore,

$x^2 - \frac{y^2}{100} = \left ( x-\frac{y}{10} \right )\left ( x+\frac{y}{10} \right )$

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