Question

Subtract$\frac{y^2}{y-1}-\frac{9y-8}{y-1}$

Short answer

The required expression is$y-8.$

Step-by-step solution

Given information

The given expression is$\frac{y^2}{y-1}-\frac{9y-8}{y-1}$.

Simplifying the expression

Making the denominator common:

$\frac{y^2-9y+8}{y-1}$

Factorizing the numerator:

$\frac{(y-8)(y-1)}{y-1}$

Cancel the common factor:

$y-8$