SOLUTION: *If someone can please help me* Factor the polynomial completely 125x³+216 Thank you!!

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Question 1175211: *If someone can please help me*
Factor the polynomial completely
125x³+216
Thank you!!
Found 3 solutions by josgarithmetic, ewatrrr, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
This has a well known formulaic factorization. See what your textbook instructs.

Understand how %28a%5E3%2Bb%5E3%29=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

125x^3 + 216 = (5x)^3 + (6)^3 
a^3+b^3=(a+b)(a^2-ab+b^2)   ⇒ a = 5x  and b = 6
(5x)^3 + (6)^3  = (5x+6)( 25x^2 - 30x + 36)

 Wish You the Best in your Studies.


Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
.

*highlight%28cross%28If%29%29 highlight%28cross%28someone%29%29 highlight%28cross%28can%29%29 please help me*


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