4x^4 y^4 =(2x^2)^2 (y^2)^2 =(2x^2 y^2)(2x^2+y^2) =(√(2)x y)(√(2)x+y)(2x^2+y^2) ...

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Factorisation by Common Factors

Solve: 4x4-y...

Question

Solve:
$4 x^{4} - y^{4}$

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Solution

$4 x^{4} - y^{4}$
$= {(2 x^{2})}^{2} - {(y^{2})}^{2}$
$= (2 x^{2} - y^{2}) (2 x^{2} + y^{2})$
$= (\sqrt{2} x - y) (\sqrt{2} x + y) (2 x^{2} + y^{2})$

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