## anonymous one year ago What is the simplified form of 1 over x minus 2 over x squared plus x ?

1. anonymous

Well, what's the LCD (the common denominator)?

2. anonymous

@Hero @mathstudent55 @mathmate @mathmath333

3. anonymous

i really just need the fast verion i have three more assignments like this :/

4. mathstudent55

First, we need to understand what the problem is. OS has an equation editor, a draw tool, a way to post pictures, and of course, you can write an expression using numbers, symbols, and parentheses. Since you didn't do any of those, we can't know for sure what your problem is because of the way you wrote it. It can be interpreted in different ways.

5. mathmate

Is "fast version" meant to be "answer only" ? lol

6. mathstudent55

Is it one of these? |dw:1440354456001:dw|

7. anonymous

x minus 1 over the quantity x times x plus 1 1 minus x over the quantity x times x plus 1 3 minus x over the quantity x times x minus 1 x plus 2 over the quantity x times x minus 1 these are the answers

8. anonymous

I'm on an iPad, so I can't use the tools to write the equations :/

9. anonymous

and it is the first one XD

10. mathstudent55

You can still use numbers, operation signs, and parentheses.

11. mathstudent55

Ok. The first one. To add fractions, you need a common denominator. First, you need to factor the denominator of the right fraction.

12. mathstudent55

|dw:1440354753400:dw|

13. anonymous

i dont understand

14. anonymous

hello

15. mathstudent55

You need to factor $$x^2 + x$$. You need to use the distributive property to find out what two factors have a product of $$x^2 + x$$.

16. mathstudent55

The distributive property: $$a(b + c) = ab + ac$$ In your case, you have $$x^2 + x = x \cdot x + x \cdot 1$$ Now compare the right side above with the right side of the distributive property. $$x^2 + x = x(x + 1)$$ That is how the right denominator is factored.

17. mathstudent55

|dw:1440356266228:dw|

18. mathstudent55

Now we need a common denominator. The LCD of x and x(x + 1) is x(x + 1) |dw:1440356356242:dw|

19. mathstudent55

Now we have a common denominator, so we can subtract the fractions. |dw:1440356409379:dw|

20. mathstudent55

That is the final answer. You can;t reduce it because there hare no common factors in the numerator and denominator.

21. anonymous

thank you

22. mathstudent55

yw