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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Solve:
$xy^9- yx^9$
✓

Answer

$xy^9- yx^9$
$ =x y\left(y^8-x^8\right) $
$ =x y\left[\left(y^4\right)^2-\left(x^4\right)^2\right] $
$ =x y\left(y^4+x^4\right)\left[\left(y^2\right)^2-\left(x^2\right)^2\right] $
$ =x y\left(y^4+x^4\right)\left(y^2+x^2\right)\left(y^2-x^2\right) $
$ =x y\left(y^4+x^4\right)\left(y^2+x^2\right)(y+x)(y-x) $

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