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Algebraic Identities

Factorise: 2x...

Question

Factorise:
$2 x (p^{2} + q^{2}) + 4 y (p^{2} + q^{2})$

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Solution

$2 x (p^{2} + q^{2}) + 4 y (p^{2} + q^{2}) = (2 x + 4 y) (p^{2} + q^{2}) = 2 (x + 2 y) (p^{2} + q^{2})$

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