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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation3 Marks
Question
Factorise $\left(x^4+x^2 y^2+y^4\right)$
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Answer

$\left(x^2+y^2+x y\right)\left(x^2+y^2-x y\right)$
[Hint. Given Exp. $=\left(x^4+2 x^2 y^2+y^4\right)-\left(x^2y^2\right)=\left(x^2+y^2\right)^2-(x y)^2$.

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