SOLUTION: I'm not quite understanding how to Factor out the GCF here. 121a^4b^5-88a^3b^3-44a^2b

Algebra ->  Trigonometry-basics -> SOLUTION: I'm not quite understanding how to Factor out the GCF here. 121a^4b^5-88a^3b^3-44a^2b      Log On


   

Question 782896: I'm not quite understanding how to Factor out the GCF here.
121a^4b^5-88a^3b^3-44a^2b
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You are looking for the GREATEST COMMON FACTOR. Prime-Factorize every term completely.
11%2A11%2Aa%5E4b%5E5, 2%2A2%2A2%2A11%2Aa%5E3b%5E3, 2%2A2%2A11%2Aa%5E2%2Ab

EACHFACTOR__________ Smallest MULTIPLICITY in ALL terms
2_____________________0
11____________________1
a_____________________2
b_____________________1

Notice that 2 does not occur in all of the terms.
Greatest Common Factor is highlight%2811a%5E2%2Ab%29