(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4

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(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4

(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4
(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4
(2x+3y)²-(x+2y)²
X²Y²-4XY^3 +4Y^4

(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4(2x+3y)²-(x+2y)² X²Y²-4XY^3 +4Y^4
(2x+3y)²-(x+2y)²
=(2x+3y+x+2y)(2x+3y-x-2y)
=(3x+5y)(x+y)
X²Y²-4XY^3 +4Y^4
=y²(x²-4xy+4y²)
=y²(x-2y)²