Question

How do you evaluate `\frac { x ( x - 1) } { ( x - 1) ( x - 1) }`?

Answer 1

See a solution process below:

Explanation:

Cancel common terms in the numerator and denominator:

`(xcolor(red)(cancel(color(black)((x - 1)))))/((x - 1)color(red)(cancel(color(black)((x - 1))))) =>`

`x/(x - 1)`

Going back to the original expression, we cannot divide by `0`, therefore the solution is:

`x/(x - 1)` Where `(x - 1) != 0`

Or

`x/(x - 1)` Where `x != 1`