SOLUTION: Factor the polynomial 27x^3 - 8y^3 MY WORK 27^3 = 19683x 8Y^3 = 512

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Question 59062This question is from textbook elementary and intermediate algebra
: Factor the polynomial 27x^3 - 8y^3


MY WORK 27^3 = 19683x
8Y^3 = 512
This question is from textbook elementary and intermediate algebra

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial 27x^3 - 8y^3
THIS RESEMBLES
A^3-B^3 = (A-B)(A^2+AB+B^2)
SO LET US TRY TO PUT IT IN THAT FORM
=(3X)^3 - (2Y)^3
HENCE A=3X....B=2Y..
SO WE GET
(3X-2Y)[(3X)^2+(3X)(2Y)+(2Y)^2]
=(3X-2Y)(9X^2+6XY+4Y^2)