Question

How do you simplify `\frac { 3x ^ { 2} + 2x - 5} { 2x ^ { 2} - 3x + 1}`?

Answer 1

See a solution process below:

Explanation:

First, factor the numerator and denominator in the expression as:

`((3x + 5)(x - 1))/((2x - 1)(x - 1))`

Now, cancel like terms in the numerator and denominator:

`((3x + 5)color(red)(cancel(color(black)((x - 1)))))/((2x - 1)color(red)(cancel(color(black)((x - 1))))) =>`

`(3x + 5)/(2x - 1)`