SOLUTION: factor this polynomial completely {{{3y^5-75y^3}}}

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Question 482003: factor this polynomial completely
3y%5E5-75y%5E3
Found 2 solutions by josmiceli, kingme18:
Answer by josmiceli(19441) About Me  (Show Source):
Answer by kingme18(98) About Me  (Show Source):
You can put this solution on YOUR website!
Any time you factor a polynomial, your first step is to factor out the GCF (Greatest Common Factor). In your case, both terms are divisible by 3y%5E3, so we factor that out first (and divide both terms by the GCF inside the parentheses): 3y%5E3%28y%5E2-25%29. Now, look inside the parentheses. That's a difference of two squares, and can be factored...the rule is a%5E2-b%5E2=%28a%2Bb%29%28a-b%29, so since y%5E2-25=y%5E2-5%5E2, it factors to %28y%2B5%29%28y-5%29. Don't forget that GCF you factored out; your final answer is 3y%5E3%28y%2B5%29%28y-5%29