SOLUTION: Can someone please help me to factor this Polynominal? 16a^4 - 625b^4 Thank You Very Much!

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Question 105917This question is from textbook Intermediate Algebra
: Can someone please help me to factor this Polynominal? 16a^4 - 625b^4
Thank You Very Much! This question is from textbook Intermediate Algebra

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
16a%5E4+-+625b%5E4=%284a%5E2%29%5E2+-+%2825b%5E2%29%5E2
Do you knoew the difference of two squares?
It states that a%5E2-b%5E2=%28a%2Bb%29%28a-b%29! We can apply this here!
16a%5E4+-+625b%5E4=%284a%5E2%2B25b%5E2%29%284a%5E2-25b%5E2%29
16a%5E4+-+625b%5E4=%284a%5E2%2B25b%5E2%29%28%282a%29%5E2-%285b%29%5E2%29
16a%5E4+-+625b%5E4=%284a%5E2%2B25b%5E2%29%282a%2B5b%29%282a-5b%29

Power up,
HyperBrain!