Factorize: 4(x-y) 2 -12(x-y)(x+y)+9(x+y) 2

Question

Philoid · Accepted Answer

Given,

4(x-y)² -12(x-y)(x+y)+9(x+y)² = 4(x²-2xy+y²)-12(x² – y²)+9(x²+y²+2xy)

= 4x²-8xy+4y²-12x²+12y²+9x²+9y+18xy

= x²+25y²+10xy

= (x)²+(5y)²+2×x×5y

= (x+5y)²

Factorize:4(x-y)2-12(x-y)(x+y)+9(x+y)2