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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials1 Mark
Question
Factorise:
$a^6+b^6$
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Answer

$a^6+b^6$
$=\left(a^2\right)^3+\left(b^2\right)^3$
$=\left(a^2+b^2\right)\left[\left(a^2\right)^2-\left(a^2 b^2\right)+\left(b^2\right)^2\right]$
$=\left(a^2+b^2\right)\left(a^4-a^2 b^2+b^4\right)$

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