## anonymous one year ago What is the simplified form of 3 over 2x minus 5 + 21 over 8 x squared minus 14x minus 15 ?

1. anonymous

@ganeshie8

2. anonymous

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3. anonymous

@jonathonneely33 @RosieF

4. anonymous

I think thw answer is 6(x+1)/2x-5(4x+3)

5. welshfella

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6. anonymous

I agree

7. welshfella

oops that 3 in first fraction not 8

8. welshfella

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9. welshfella

now simplify the top part

10. anonymous

12x+30

11. welshfella

yep so that's (12x + 30) / (2x -5)(4x+3)

12. anonymous

so is it 6(2x+5)/2x-5(4x+3)

13. welshfella

oh yes you can factor the top , of course

14. anonymous

:) Thanks!

15. anonymous

What is the simplified form of 2 over x squared plus x minus 1 over x ?

16. anonymous

I got x-1/x(x+1)

17. anonymous

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18. welshfella

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19. anonymous

Yes

20. welshfella

LCM is x(x^2 + 1)

21. anonymous

uh-huh I got that too

22. welshfella

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23. anonymous

so you'd get 1x^2+1

24. welshfella

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25. welshfella

- (x - 1)^2 / (x(x^2 + 1))

26. anonymous

so 1-x or x-1

27. anonymous

I think it's x-1/x(x+1) maybe?

28. welshfella

no you cant simplify any further

29. welshfella

x^2 + 1 has no factors

30. anonymous

ok but my answer choices are a. x-1/x(x+1) b. x-1/x(x+1) c. 2-x/x(x+1)

31. welshfella

x^2 - 1 has but not with '+'

32. anonymous

So A?

33. welshfella

oh i've written x^2 + 1 instead of x^2 + x - i misread the question

34. anonymous

haha it's okay :D

35. anonymous

What is the simplified form of 1 over x-cubed all over 3 over x squared ?

36. welshfella

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37. welshfella

is that right for the second one?

38. anonymous

Yes!

39. anonymous

What is the simplified form of 1 over x-cubed all over 3 over x squared ?

40. anonymous

For this one, I got x/3

41. welshfella

ok 2/ x(1 + x) - 1/x = 2 - (1 + x) / x(1 + x) = (1 - x) / x(1 + x)

42. anonymous

Ok:) Thanks!

43. welshfella

yw

44. anonymous

Was I right for the last question?

45. welshfella

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46. welshfella

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47. welshfella

to divide a fraction you invert the divisor then multiply