SOLUTION: I'm tempted to distribute and simplify but there may be an easier way??

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Question 1043801: I'm tempted to distribute and simplify but there may be an easier way??
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How would you factor:
(X-3)^2 x (2x+1)^3 + (x-3)^3 x (2x+1)^2
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Don't use x for multiply, it's confusing.
Use * (Shift 8)
(X-3)^2*(2x+1)^3 + (x-3)^3*(2x+1)^2
Factor out common terms, (x-3) and (2x+1)
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= %28x-3%29%5E2%2A%282x%2B1%29%5E2%2A%28%282x%2B1%29+%2B+%28x-3%29%2A%282x%2B1%29%5E2%29
= %28x-3%29%5E2%2A%282x%2B1%29%5E2%2A%28%282x%2B1%29+%2B+%28x-3%29%29
= %28x-3%29%5E2%2A%282x%2B1%29%5E2%2A%283x+-+2%29