SOLUTION: The polynomial 216 x^3 - 125 y^3 can be factored into the product of two polynomials, A times B where the degree of A is greater than the degree of B. Find A and B. Please help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The polynomial 216 x^3 - 125 y^3 can be factored into the product of two polynomials, A times B where the degree of A is greater than the degree of B. Find A and B. Please help!      Log On


   



Question 227157: The polynomial 216 x^3 - 125 y^3 can be factored into the product of two polynomials, A times B where the degree of A is greater than the degree of B. Find A and B.
Please help! thank you!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The polynomial 216 x^3 - 125 y^3 can be factored into the product of two polynomials, A times B where the degree of A is greater than the degree of B. Find A and B.
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The difference of 2 cubes, a^3 - b^3 is (a-b)*(a^2 + ab + b^2)
For this one, a = 6x, and b = 5y
216x%5E3+-+125y%5E3+=+%286x+-+5y%29%2A%2836x%5E2+%2B+30xy+%2B+25y%5E2%29