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Factorisation by Regrouping Terms

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Question

Factorize each of the following algebraic expression:
4x²+ 12xy +9y²

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Solution

$4 x^{2} + 12 x y + 9 y^{2} = (2 x)^{2} + 2 \times 2 x \times 3 y + (3 y)^{2} = (2 x + 3 y)^{2} = (2 x + 3 y) (2 x + 3 y)$

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Similar questions

Q. The algebraic expression

4 x^{2} + 9 y^{2} + 25 z^{2} + 12 x y - 30 y z - 20 z x

can be factorised as

4 x^{2} + 12 x y + 9 y^{2}

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

4 x^{2} + 9 y^{2} + 25 z^{2} - 12 x y - 30 y z + 20 z x

Q. Factorize: 4x² + 9y² + 16z² + 12xy − 24yz − 16xz.

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Factorisation by Regrouping Terms

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