SOLUTION: Hi, I need help with the following please: 625s^6-5d^6 factor The correct factorization is___

SOLUTION: Hi, I need help with the following please: 625s^6-5d^6 factor The correct factorization is____ Thanks,

Question 588619: Hi,
I need help with the following please:
625s^6-5d^6 factor
The correct factorization is____
Thanks,

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
625s^6-5d^6 factor
The correct factorization is____
----
greatest common factor: 5
---
= 5(125s^6-d^6)
----
= 5((5s^2)^3)-(d^2)^3)
------
Factor the difference of cubes to get:
= 5(5s^2-d^2)(25s^4+5s^2d^2+d^4)
===========
Cheers,
Stan H.
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