Question

Reduced form of 2ab^2-a^2 b^2/5

Answer 1

`2ab^2-(a^2b^2)/(5)=(10ab^2-a^2b^2)/(5)`

Explanation:

Given the expression

`2ab^2-(a^2b^2)/(5)`

`\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=(2ab^25)/(5)`

`2ab^2-(a^2b^2)/(5)=(2ab^2\cdot \:5)/(5)-(a^2b^2)/(5)`

`\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)`

`=(2ab^2\cdot \:5-a^2b^2)/(5)`

`=(10ab^2-a^2b^2)/(5)`

Thus,

`2ab^2-(a^2b^2)/(5)=(10ab^2-a^2b^2)/(5)`