Question

factorise x cube minus x square Y minus x y square + y cube

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The required factorization of given expression is $(x+y)(x-y)^2$.

Step-by-step explanation:

Consider the provided expression.

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

Rewrite the above expression.

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

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

Use the formula: $a^3+b^3=(a+b)(a^2+b^2-ab)$

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

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

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

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

Hence, the required factorization of given expression is $(x+y)(x-y)^2$.

#Learn more

Factorise a^3+b^3+a+b

https://brainly.in/question/5633822