Question

Factorise( 25/4)x^-(1/9)y^

Answer 1

Answer:

The factored from is (5/2x-y/2) (5/2x+y/2)

Step-by-step explanation:

Given the expression

25/4x^2-y^2/9

We have to factorise the above polynomial.

25/4x^2-y^2/9

(5/2x)^2-(y/3)^2

Using identity

a^2-b^2=(a-b)(a+b)

put a=5/2x and b=y/3

(5/2x)^2-(y/3)^2=(5/2x-y/2) (5/2x+y/2)