Question

Factorise : (1-4x^2)(1-4y^2)+16xy​

Answer 1

Step-by-step explanation:

(1-4x²)(1-4y²)+16xy

=1-4x²-4y²+16x²y²+16xy

=1-4x²-4y²+16x²y²+8xy+8xy

=1+16x²y²+8xy-4x²-4y²+8xy

={1+(4xy)²+2(1)(4xy)}-{(2x)²+(2y)²-2(2x)(2y)}

=(1+4xy)²-(2x-2y)²

=(1+4xy+2x-2y)(1+4xy-2x+2y)