Question

factorize....<br />(1-4x^2)(1-4y^2)+16xy​

Answer 1

Step-by-step explanation:

(1-4x^2)(1-4y^2)+16xy

=1-4x^2-4y^2+16(xy)^4+16xy

=1+16(xy)^2+8xy-4(x^2+y^2)+8xy

=1+16(xy)^2+8xy-4(x^2+y^2-2xy)

=1+8xy+16(xy)^2-4(x-y)^2

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

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

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