how can i do this math problem?

Question

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box.


4x²+23x+15/(4x²-x-3)

 

Rational expression in lowest terms:

Answer 1

Are there parentheses around the 4x² + 23x + 15?  This is important and you must be clear about the problem form.

Answer 2

Begin by factoring the numerator into the following: (4x+3)(x+5)

Then, the denominator can be factored into (4x+3)(x-1)

Thus, we have [(4x+3)(x+5)] / [(4x+3)(x-1)]

The answer, therefore, is (x+5)/(x-1)