HelpMe94 Write and Solve Partial Fraction Decomposition of a Rational Expression (LOOK IN FOR EQUATION) one year ago one year ago

1. HelpMe94

$\frac{ 2x }{ x ^{3}-1 }$

2. UnkleRhaukus

how did you get your first step?

3. UnkleRhaukus

$x^3-1=(x-1)(x^2+x+1)$

4. UnkleRhaukus

so $\frac{2x}{x^3-1}=\frac A{x-1}+\frac {Bx+C}{x^2+x+1}$

5. UnkleRhaukus

the factor (x^2+x+1) is quadratic , so the denominator must be linear, not just a scalar

6. UnkleRhaukus

pardon?

7. UnkleRhaukus

in where?

8. UnkleRhaukus

im not sure what you are saying

9. UnkleRhaukus

from the start.

10. UnkleRhaukus

$\frac{2x}{x^3-1}=\frac{2x}{(x-1)(x^2+x+1)}=\frac A{x-1}+\frac {Bx+C}{x^2+x+1}$ $2x=A(x^2+x+1)+(Bx+C)(x-1)$ to find the constants try x=1 , x=0

11. HelpMe94

Is This Correct? b=-2/3 c=2 a=2/3

12. UnkleRhaukus

$\color{red}\checkmark$great work