SOLUTION: 64+27x^3 factor completly
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Question 179786: 64+27x^3 factor completly
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is the sum of two cubes. 64 is 4 cubed (
) and 27 is 3 cubed (
).
The factorization of the sum and difference of two cubes is:
(x^2 \mp xy + y^2))
This is really easy to remember: 1st factor: )
2nd factor )
. Then remember San Diego Padres = SDP = Same Different Plus to put in the signs. So for (x^2 - xy + y^2))
and for (x^2 + xy + y^2))
So for your problem
^3 = (4 + 3x)(16 - 12x + 9x^2))
John
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