SOLUTION: 6b4plus12b3minus18b2

Question 972552: 6b4plus12b3minus18b2
Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
6b4plus12b3minus18b2
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Factor::
6b^4 + 12b^3 - 18b^2
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Common Factor:: 6b^2
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= 6b^2(b^2 + 2b - 3)
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= 6b^2(b+3)(b-1)
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Cheers,
Stan H.
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Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
6b^4 + 12 b^3 -18b^2
factor out a 6 b^2, common to all three.
6b^2(b^2+2b -3)
That factors into (b+3)(b-1)
6b^2 (b+3)(b-1)
In these sorts of problems, start with something simple, like seeing what they have in common. They can't be added, because the variable is different. So you factor out whatever you can, not knowing what you will find. I factor out a 6b^2, and I see something that I can factor further. I didn't know that was going to happen, but it did. Take a complex math problem and reduce it to simpler ones.