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# exponent math questions....?

Can you please show the steps to this question. Im not getting the correct answer.

Question:

(x^9 + x^5 )/(x+x^5)

The correct answer is:

x^4

Thanks!

### 8 Answers

- Anonymous1 decade agoFavorite Answer
You have to F.O.I.L it. FOIL stands for First Outer Inner Last. So if you have (x^9+x^5)(x+x^5). You multiply the first terms in each parenthesis, then the outer terms in each parenthesis, then the inner terms in each parenthesis, and finally the last term in each parenthesis. So when you multiply you should come out with x^10 + x^14 + x^6 + x^10. Which comes out to be x^40. Which means x^4 isn't correct or this is something different then what I originally thought.

- Anonymous1 decade ago
take out a x^5 on top so

x^5(x^4+1) then take out a x on the bottom so

x(x^4+1) now cancel out the x^4+1 on top and bottom

now your left with x^5/X when you have that u subtract one exponent so 5-4= 1 thats how u get x^4

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