# How do you combine #(4a-2)/(3a+12)-(a-2)/(a+4)#?

This equals

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See a solution process below:

We can now subtract the numerators over the common denominator:

We can now factor the numerator and cancel common terms:

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To combine the expressions (4a-2)/(3a+12) and (a-2)/(a+4), we need to find a common denominator. The common denominator for these expressions is (3a+12)(a+4).

Next, we multiply the first fraction (4a-2)/(3a+12) by (a+4)/(a+4), and the second fraction (a-2)/(a+4) by (3a+12)/(3a+12).

After multiplying, we can simplify the numerators and combine the fractions by subtracting the second fraction from the first fraction.

The simplified expression is (2a+6)/(3a+12).

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