SOLUTION: 3x^2 - 12 / x^2 + 2x - 8 divided by 6x + 18 / x + 4 Divide as indicated

Question 370115: 3x^2 - 12 / x^2 + 2x - 8 divided by 6x + 18 / x + 4
Divide as indicated
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

To divide a fraction by a fraction we change it to multiplication and invert the divisor:

Next, as you probably learned when first multiplying fractions, it is to your advantage to cancel, if possible, before multiplying. Since only factors may be canceled, I will now factor each numerator and denominator:

Now we can cancel the factors that are common to both the numerators and denominators:

which leaves us with:

Now the multiplying is much easier than if we had not canceled first:

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