Question

Factorize : 25/4 x^2 - Y^2/9

Answer 1

Hi friends

Here is your answer.

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

Answer 2

Answer:

$\underline{\boxed{\boxed{\boxed{\bold{\sf{(\dfrac{5}{4}x + \dfrac{y}{3})(\dfrac{5}{4}x - \dfrac{y}{3})}}}}}}$

Step-by-step explanation:

$\sf{\dfrac{25}{4}x^2 - \dfrac{y^2}{9}}\\\\\\\sf{= (\dfrac{5}{2}x)^2 - (\dfrac{y}{3})^2}\\\\\\\textsf{Using: } \mathsf{a^2 - b^2 = (a+b)(a-b)}\\\\\underline{\boxed{\boxed{\boxed{\bold{\sf{(\dfrac{5}{4}x + \dfrac{y}{3})(\dfrac{5}{4}x - \dfrac{y}{3})}}}}}}$