SOLUTION: I am having a problem rearranging polynomials so that I can find the GCF and factor by grouping to get a binomial answer. Example question: 10x^2-12y+15x-8xy. I have tried to re

Question 372538: I am having a problem rearranging polynomials so that I can find the GCF and factor by grouping to get a binomial answer.
Example question: 10x^2-12y+15x-8xy.
I have tried to rearrange by switching the 12y and 15x but it doesn't give me the correct binomial answer. Can you advise? I hope I haven't confused anyone with my question. I appreciate any help.
Juliette Wilson
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Starting with:
10x^2-12y+15x-8xy
Then switching the two middle terms:
10x^2+15x-12y-8xy
Now group terms:
(10x^2+15x)-(12y+8xy) (careful with the sign change in second term)
factor each expression inside parentheses:
5x(2x+3)-4y(3+2x)
5x(2x+3)-4y(2x+3)
(2x+3)(5x-4y)

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