Question

Factorize:1-(2x-3y)^2

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Answer 1

Step-by-step explanation:

1-(2x-3y)²

1-(2x)²+(3y)²-2(2x)(3y)

[using identity (a+b)²=a²+b²+2ab]

1-4x²+9y²-12xy

Answer 2

Answer:

(2x-3y)(2x-3y)

Step-by-step explanation:

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

because this is in the form of

{ a-b}^2= a^2+b^2-2ab

=4x^2+9y^2-12xy

this can also be written as

4x^2 -12xy +9y^2

now let us factorise this

4x^2-6xy-6xy +9y^2

=2x(2x-3y) -3y(2x-3y)

=(2x-3y)(2x-3y)

(OR)

(2x-3y)^2= (2x-3y)(2x-3y)