Question

Factorise:
$(\frac{25}{4}{x}^2-\frac{1}{9}{y}^2)$

Answer 1

$(\frac{25}{4}{x}^2-\frac{1}{9}{y}^2)$

$({\frac{5x}{2}}^2-{\frac{y}{3}}^2)$
Apply the formula; $a^2-b^2=(a+b)(a-b)$

$(\frac{5x}{2}-\frac{y}{3})$ $(\frac{5x}{2}+\frac{y}{3})$