radnorgardens
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- Joined
- Dec 2, 2014
- Messages
- 26
Question:
. . . . .\(\displaystyle \mbox{(e) }\, \dfrac{5}{x\, (x\, +\, 1)}\, -\, \dfrac{2}{x}\, +\, \dfrac{3}{x\, +\, 1}\)
I'm getting myself confused with this one.
1) I multiplied all the denominators, so they all became x(x+1)x(x+1).
2) Then 5x(x+1) - 2x(x+1)(x+1) + 3x(x+1)x
3) Becomes, 5x2 + 5x - 2x3 - 4x2 - 2x + 3x3 + 3x2
4) Simplified, 4x2 + 3x + x3 / x(x+1)x(x+1).
The answer is x + 3 / x(x+1). I don't know how to get this.
Appreciate your help all.
Thxs.
. . . . .\(\displaystyle \mbox{(e) }\, \dfrac{5}{x\, (x\, +\, 1)}\, -\, \dfrac{2}{x}\, +\, \dfrac{3}{x\, +\, 1}\)
I'm getting myself confused with this one.
1) I multiplied all the denominators, so they all became x(x+1)x(x+1).
2) Then 5x(x+1) - 2x(x+1)(x+1) + 3x(x+1)x
3) Becomes, 5x2 + 5x - 2x3 - 4x2 - 2x + 3x3 + 3x2
4) Simplified, 4x2 + 3x + x3 / x(x+1)x(x+1).
The answer is x + 3 / x(x+1). I don't know how to get this.
Appreciate your help all.
Thxs.
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