Question

factorize (2x+3y) ^2- 1​

Answer 1

Step-by-step explanation:

(2x+3y-1)(2x+3y+1)

by using x^2-y^2=(x+y)(x-y)

Answer 2

Step-by-step explanation:

Given expression is (2x+3y)²-1

It can be written as (2x+3y)²-1²

It is in the form of à²-b²

Here a=(2x+3y) and b=1

We know that a²-b²=(a+b)(a-b)

(2x+3y)²-1²=(2x+3y+1)(2x+3y-1)

therefore,

(2x+3y)²-1=(2x+3y+1)(2x+3y-1)