SOLUTION: PLease help to factor : 64a^3c^6 + x^6y^9

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Question 75314This question is from textbook Alegbra 2 An Incremental Development
: PLease help to factor :
64a^3c^6 + x^6y^9 This question is from textbook Alegbra 2 An Incremental Development

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor"
64a%5E3c%5E6%2Bx%5E6y%5E9 Do you recognise this as the sum of two cubes?
%284ac%5E2%29%5E3%2B%28x%5E2y%5E3%29%5E3
The sum of two cubes can be factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 Applying this to your expression, where:A+=+4ac%5E2 and B+=+x%5E2y%5E3, we get: