Simplify: x^2(x+2 y)(x-3 y) - Vidyadip

Question

Simplify:
$ x^2(x+2 y)(x-3 y) $

✓

Answer

To simplify, we will proceed as follows:
$ x^2(x+2 y)(x-3 y) $
$ =\left[x^2(x+2 y)\right](x-3 y) $
$ =\left(x^3+2 x^2 y\right)(x-3 y) $
$ =x^3(x-3 y)+2 x^2 y(x-3 y) $
$ =x^4-3 x^3 y+2 x^3 y-6 x^2 y^2 $
$ =x^4-x^3 y-6 x^2 y^2 $
Thus, the answer is $x^4-x^3 y-6 x^2 y^2 $.

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