Factorize:

3. $x (x^{3} - y^{3}) + 3 x y (x - y)$

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Solution

The given expression to be factorized is

We know that

The given expression then becomes

Take common from the two terms. That is

We cannot further factorize the expression.

So, the required factorization of is.

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Similar questions

What is $(x - y)^{3}$ ?

(x - y)^{3}

x {(x - y)}^{3} + 3 x y (x - y)

\frac{x}{y} + \frac{y}{x}

\neq

x^{3} + y^{3}

(x - y)^{3} + (y - z)^{3} + (z - x)^{3}

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