SOLUTION: please factor. 8p^6-20p^4+36p^3-16p^2.. show step by step please.. I've tried to work this problem out about 15 times trying to get a right answer. Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please factor. 8p^6-20p^4+36p^3-16p^2.. show step by step please.. I've tried to work this problem out about 15 times trying to get a right answer. Thank you      Log On


   

Question 810637: please factor. 8p^6-20p^4+36p^3-16p^2.. show step by step please..
I've tried to work this problem out about 15 times trying to get a right answer.

Thank you
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Look for the greatest common factor of the terms, of ALL the terms.

2%2A2%2A2%2Ap%5E6-2%2A2%2A5%2Ap%5E4%2B2%2A2%2A3%2A3%2Ap%5E3-2%2A2%2A2%2A2%2Ap%5E2

Looking carefully you should identify 2%2A2%2Ap%5E2 as the greatest common factor. Continue with that.


The question about factoring by grouping of terms - might not be practical or possible. Let's see what happens if we factor by reverse distrubution of the greatest common factor:

%282%2A2%2Ap%5E2%29%282p%5E4-5p%5E2%2B3%2A3p-2%2A2%29
%284p%5E2%29%282p%5E4-5p%5E2%2B9p-4%29
I see nothing more.