SOLUTION: Factor this trinomial completly 2a^3 - 52a^2b + 96ab^2

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Question 40763: Factor this trinomial completly
2a^3 - 52a^2b + 96ab^2

Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
First of all, since you have one "a" in all the terms, you can use it as common factor:
a%282a%5E2+-+52%2Aa%2Ab+%2B+96%2Ab%5E2%29
Also, notice that all the terms inside the parenthesis are even. Therefore, we can also take 2 as common facor:
2a%28a%5E2+-+26%2Aa%2Ab+%2B+48%2Ab%5E2%29
Finally, the remaining terms inside the parenthesis %28a%5E2+-+26%2Aa%2Ab+%2B+48%2Ab%5E2%29 can be factored as:
%28a+-+2b%29%28a-24b%29
Therefore, the whole expression can be factored as:
2a%28a-2b%29%28a-24b%29

I hope this helps!
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