## Solmyr 2 years ago Simplify 2x + 10 / x^2 + 4x – 5 X + 5 / x – 1 2 / x – 1 2(x + 5) / x – 1 2 / x

1. hartnn

can you factor x^2 + 4x – 5 ?

2. Solmyr

forgot

3. hartnn

what are the 2 numbers with sum =4 and product = -5 ?

4. Solmyr

4x and -5

5. hartnn

you mean 4 and -5 ? not really...

6. Solmyr

ok

7. hartnn

try again ?

8. Solmyr

2 and 10

9. hartnn

2+10 =4 ?

10. hartnn

and one of the number will be negative.

11. Solmyr

oh 2x and x^2 = 4

12. Solmyr

10 - 5 = 5

13. hartnn

what about +5 and -1 ?

14. Solmyr

4

15. hartnn

will those give sum =4 and product = -5 ?

16. Solmyr

yes

17. hartnn

so, we split the middle term 4x = 5x-x

18. Solmyr

ok

19. hartnn

x^2+5x-x-5 =0 x(x+5)-1 (x+5) =0 factor out x+5 from that, what u get ?

20. Solmyr

ok so im gonna have (x + 5) and also -1

21. hartnn

and there was +x in the beginning also, right ? so , you have (x-1)(x+5) as your denominator, ok ? what about numerator 2x+10 factor out 2, what u get ?

22. Solmyr

12x

23. hartnn

how ?

24. Solmyr

25. hartnn

you can't add 2x to 10 2x has 'x' in it, its variable, 10 is a constant

26. Solmyr

oh srry

27. Solmyr

im not sure then

28. hartnn

2*x+10 = 2*x+2*5 2 is common, factoring it out, 2 (x+5) got this ?

29. Solmyr

yup

30. hartnn

numerator = 2 (x+5) denominator = (x-1)(x+5) what gets cancelled out ?

31. Solmyr

x + 5

32. hartnn

what remains ?

33. Solmyr

2 / x - 1

34. hartnn

35. Solmyr

thank you for all your help

36. hartnn

welcome ^_^