Question

Factorise the following using appropriate identities:

$x^2-\frac{y^2}{100}$ [2 MARKS]

Answer 1

Formula: 1 Mark
Application: 1 Mark

Using the identity,
$a^2-b^2=(a+b)(a-b)$

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

$\therefore (x-\frac{y}{10})(x+\frac{y}{10})$