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(a+b)(a-b) Expansion and Visualisation

Factorize: 4...

Question

Factorize:
$4 x^{2} - 12 x y + 9 y^{2} + 2 x - 3 y$

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Solution

Now,
$4 x^{2} - 12 x y + 9 y^{2} + 2 x - 3 y$
$= (2 x - 3 y)^{2} + (2 x - 3 y)$
$= (2 x - 3 y) (2 x - 3 y + 1)$ .

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