Factorize:

4(x − y)² − 12(x − y) (x + y) + 9(x + y)²

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Solution

The given expression to be factorized is

Substituting andin the above expression, we get

=

This can be arrange in the form

Putand.

Take common -1 from the expression within the braces.

We cannot further factorize the expression.

So, the required factorization of is.

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Similar questions

Factorize:

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

(x + y)^{2} + 9 (x + y) + 8

Factorize:

$12 (x + y)^{2} - (x + y) - 35$

Let A = 3 y^{2} + 9 x - 3 x^{2}, B = 6 x^{2} - 2 y^{2} + 3 x, C = 9 x^{2} - 3 x y - y^{2} . Find A + B - C.

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