x⁶ + y⁶

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Solution

The given expression to be factorized is

This can be written as

Recall the formula for sum of two cubes

Using the above formula, we have

We cannot further factorize the expression.

So, the required factorization of is.

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Similar questions

x^{6} - y^{6}

x^{6} - y^{6}

Factorize $x^{6} + y^{6}$

\sqrt{1 - x^{6}} + \sqrt{1 - y^{6}} = a (x^{3} - y^{3})

\frac{d y}{d x} = f (x, y) \sqrt{\frac{1 - y^{6}}{1 - x^{6}}}

\sqrt{1 - x^{6}} + \sqrt{1 - y^{6}} = a^{3} (x^{3} - y^{3})

\frac{d y}{d x} = \frac{x^{2}}{y^{2}} \sqrt{\frac{1 - y^{6}}{1 - x^{6}}}

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