# What is the least common denominator of the rational expression: #5/x^2 - 3/(6x^2 + 12x)#?

##### 3 Answers

The first fraction is set, yet the second one needs simplifying- which I missed pre-edit.

#### Explanation:

The second term is not in minimal terms: there is a factor

You now can use the formula

Since

Hence your difference becomes

#### Explanation:

To adjust the fractions to common denominators so the terms can be combined, you would want to multiply each fraction by the number 1 in the form of the other fraction's denominator. I notice that 6x^2+12x can be factored to 6x(x+2) and x^2 is x*x, So, and x is already in common.

The left fraction, we would multiply the top and bottom by 6x+12, and the right fraction by x.