SOLUTION: factor 8x^3y^5+16y^3x^5-40x^4y^4

Question 115468: factor
8x^3y^5+16y^3x^5-40x^4y^4

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor out the GCF

Sort the terms

Looking at we can see that the first term is and the last term is where the coefficients are 1 and 2 respectively.

Now multiply the first coefficient 1 and the last coefficient 2 to get 2. Now what two numbers multiply to 2 and add to the middle coefficient -5? Let's list all of the factors of 2:

Factors of 2:
1,2

-1,-2 ...List the negative factors as well. This will allow us to find all possible combinations

These factors pair up and multiply to 2
1*2
(-1)*(-2)

note: remember two negative numbers multiplied together make a positive number

Now which of these pairs add to -5? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -5

First Number	Second Number	Sum
1	2	1+2=3
-1	-2	-1+(-2)=-3

None of these pairs of factors add to -5. So the inner expression cannot be factored

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Answer:
So that means factors to
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