SOLUTION: How do I factor 5(x^2+5)^4(2x)(x-3)^4+(x^2+5)^5(4)(x-3)^3

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Question 1019695: How do I factor 5(x^2+5)^4(2x)(x-3)^4+(x^2+5)^5(4)(x-3)^3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5%28x%5E2%2B5%29%5E4%282x%29%28x-3%29%5E4%2B%28x%5E2%2B5%29%5E5%284%29%28x-3%29%5E3
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The common factors in the 2 terms are (x^2+5) and (x-3)
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---> %28x%5E2%2B5%29%5E4%2A%28x-3%29%5E3%2A%2810x%2A%28x-3%29+%2B+4%28x%5E2%2B5%29%29
Also a 2
---> 2%28x%5E2%2B5%29%5E4%2A%28x-3%29%5E3%2A%285x%2A%28x-3%29+%2B+2%28x%5E2%2B5%29%29
= 2%28x%5E2%2B5%29%5E4%2A%28x-3%29%5E3%2A%28%285x%5E2-15x%29+%2B+2x%5E2%2B10%29%29
= 2%28x%5E2%2B5%29%5E4%2A%28x-3%29%5E3%2A%287x%5E2-15x+%2B10%29