SOLUTION: Hello, can someone please help me factor these polynomials completely. 125 - 8x cubed 54t cubed + 16v cubed Thank you for your website.....

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, can someone please help me factor these polynomials completely. 125 - 8x cubed 54t cubed + 16v cubed Thank you for your website.....       Log On


   

Question 116266: Hello,
can someone please help me factor these polynomials completely.
125 - 8x cubed
54t cubed + 16v cubed
Thank you for your website.....
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
125 - 8x cubed
= 5^3-(2x)^3
= (5-2x)(5^2+5(2x)+(2x)^2)
= (5-2x)(25+10x+4x^2
-------------------
54t cubed + 16v cubed
= 2(27t^3 + 8v^3)
= 2(3t+2v)((3t)2-(3t)(2v)+(2v)^2}
= 2(3t+2v)(9t^2-6tv+4v^2)
===========================
Cheers,
Stan H.