SOLUTION: factor completely x^2+8x+15 12x^3-3xy^2

Question 87365: factor completely
x^2+8x+15

12x^3-3xy^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Factor out the GCF

Now lets factor using the difference of squares

Start with the given expression

Let and . So we get this:

Since , A can be solved for:
Take the square root of both sides

Since , B can be solved for:
Take the square root of both sides

Since we have a difference of squares, we can factor it like this:

Now replace A and B
Plug in and

So the expression

factors to

Notice that if you foil the factored expression, you get the original expression. This verifies our answer.

So factors to

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