SOLUTION: Factor completely. b2 � ab � 6a2

Question 109879: Factor completely. b2 � ab � 6a2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First off, what two numbers multiply to -6 (the last coefficient) but add to -1 (the middle coefficient)? It turns out that -3 and 2 multiply to -6 but add to -1.

So replace the middle term of with to get

Now let's factor by grouping

Group like terms

Factor out the GCF of out of the first group. Factor out the GCF of out of the second group

Since we have a common term of , we can combine like terms

So factors to

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Answer:

This means factors to also

Notice how foils back to which simplifies to . So this verifies our answer.

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