Question

factorise the expression 5x×x-25xy

Answer 1

factorise of 5x×x-25xy= 5x

I hope it will help you

Answer 2

The factorisation of $5x^{2}-25xy$ is $(5)(x+\sqrt{5xy})(x-\sqrt{5xy})$.

Step-by-step explanation:

We have,

$5x^{2}-25xy$

To find, the factorasation of $5x^{2}-25xy=?$

∴ $5x^{2}-25xy$

$=(\sqrt{5}x)^{2}-(5\sqrt{xy})^{2}$

$=(\sqrt{5}x+5\sqrt{xy})(\sqrt{5}x-5\sqrt{xy})$

Taking $\sqrt{5}$ common as both factors, we get

$=(\sqrt{5}\times \sqrt{5}) (x+\sqrt{5xy})(x-\sqrt{5xy})$

$=(5)(x+\sqrt{5xy})(x-\sqrt{5xy})$

Hence, the factorisation of $5x^{2}-25xy$ is $(5)(x+\sqrt{5xy})(x-\sqrt{5xy})$.