Question

Decompose x^2+4x-3/x-2​

Answer 1

`(x^3-2x^2+4x-3)/(x-2)`

Explanation:

The given equation is :

`x^2+(4x-3)/(x-2)`

We need to decompose this equation.

We have,

`x^2+(4x-3)/(x-2)\\\\=(x^2(x-2)+4x-3)/(x-2)\\\\=(x^3-2x^2+4x-3)/(x-2)`

So,
`(x^3-2x^2+4x-3)/(x-2)` is the decomposed form of the given expression.