Asked by Ashley R
Factoring Polynomials
(please show step by step)
-8z^3 + 512w^3
(please show step by step)
-8z^3 + 512w^3
Answers
Answered by
Reiny
I see cubes all over the place, you should be familiar with the factors of A^3 + Bb^3 = (A+B)(A^2 - AB + B^2) and its equivalent of A^3 - B^3
-8z^3 + 512w^3
= -(8z^3 - 512w^3)
= - (5z - 8w)(25z^2 + 40wz + 64w^2)
-8z^3 + 512w^3
= -(8z^3 - 512w^3)
= - (5z - 8w)(25z^2 + 40wz + 64w^2)