Question

factorise 4(x-y)whole square-12(x-y)(x+y)+9(x+y)whole square

Answer 1

Hope it helps you!!
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Answer 2

Answer:

The factorization is (x+5y)(x+5y)

Step-by-step explanation:

We have to factorize the polynomial

$4(x-y)^2-12(x-y)(x+y)+9(x+y)^2$

we factorize the above polynomial by splitting the middle term method

$4(x-y)^2-12(x-y)(x+y)+9(x+y)^2$

$=4(x-y)^2-12(x-y)(x+y)+9(x+y)^2\\\\=4(x-y)^2-6(x-y)(x+y)-6(x-y)(x+y)+9(x+y)^2\\\\=2(x-y)[2(x-y)-3(x+y)]-3(x+y)[2(x-y)-3(x+y)]\\\\=(2(x-y)-3(x+y))(2(x-y)-3(x+y))\\\\=(2x-2y-3x-3y)(2x-2y-3x-3y)\\\\=(-x-5y)(-x-5y)\\\\=(x+5y)(x+5y)$