Question

Factories' : x3 – x2y – xy2 + y3​

Answer 1

Answer:

I hope it will help you mate...............

Answer 2

$x^3-x^2y-xy^2+y^3 = (x-y)(x-y)(x+y)$

Solution:

Given that,

$x^3-x^2y-xy^2+y^3$

We have to factorise the above expression

From given,

$x^3-x^2y-xy^2+y^3$

Group the expression

$(x^3-x^2y)-(xy^2-y^3)$

Take x square common from first group and y square common from second group

$x^2(x-y) -y^2(x-y)$

Take (x - y) as common

$(x-y)(x^2-y^2)\\\\Expand\\\\(x-y)(x-y)(x+y)$

Thus the given expression is factored

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