Question

XY raise to the power 5 minus yx raise to the power 5 Please solve this

Answer 1

Answer:

The answer is

$xy \times (y - x) \times (y + x) \times ( {y}^{2} + {x}^{2} )$

Step-by-step explanation:

The expression is,

${xy}^{5} - {yx}^{5}$

When we factorise it, we get,

$xy \times ( {y}^{4} - {x}^{4} )$

Factorising further,

$xy \times ( {y}^{2} - {x}^{2} ) \times ( {y}^{2} + {x}^{2} ) \\ = xy \times (y - x) \times (y + x) \times ( {y}^{2} + {x}^{2} )$