SOLUTION: I don't understand the steps that were taken to come up w/the answer. I also wrote out the exponent info in wording, being I could not figure out how to perform special characters

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I don't understand the steps that were taken to come up w/the answer. I also wrote out the exponent info in wording, being I could not figure out how to perform special characters       Log On


   

Question 399581: I don't understand the steps that were taken to come up w/the answer. I also wrote out the exponent info in wording, being I could not figure out how to perform special characters on my computer.
3x(cube)-81y(cube) = 3(x-3y)(x(square)+3xy - 9y(square)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3x(cube)-81y(cube)
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3[x^3-27y^3]
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= 3[x^3-(3y)^3]
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= 3[x-(3y)][(x^2+3xy+9y^2]
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This is based on the form:
(a^3-b^3) = (a-b)(a^2+ab+b^2)
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Cheers,
Stan H.
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