Question

simplify x^3/x-y +y^3/y-x​

Answer 1

mark as brainleast question.

Answer 2

(x^2 + xy + y^2) is the answer

Given :

The expression : x^3/x-y +y^3/y-x

To find :

To simplify the given expression

Solution :

x^3/x-y +y^3/y-x

= (x^3/x-y) - (y^3/x-y)

= (x^3 - y^3)/(x-y)

We know, a^3 - b^3 = (a-b)(a^2 + ab + b^2)

here, a = x and b = y

Hence, (x-y)(x^2 + xy + y^2) / (x-y)

= (x^2 + xy + y^2)

Therefore, (x^2 + xy + y^2) is the answer.

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