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



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HelpMe94
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\[\frac{ 2x }{ x ^{3}1 }\]

UnkleRhaukus
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how did you get your first step?

UnkleRhaukus
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\[x^31=(x1)(x^2+x+1)\]

UnkleRhaukus
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so
\[\frac{2x}{x^31}=\frac A{x1}+\frac {Bx+C}{x^2+x+1}\]

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

UnkleRhaukus
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pardon?

UnkleRhaukus
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in where?

UnkleRhaukus
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im not sure what you are saying

UnkleRhaukus
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from the start.

UnkleRhaukus
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\[\frac{2x}{x^31}=\frac{2x}{(x1)(x^2+x+1)}=\frac A{x1}+\frac {Bx+C}{x^2+x+1}\]
\[2x=A(x^2+x+1)+(Bx+C)(x1)\]
to find the constants try x=1 , x=0

HelpMe94
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Is This Correct?
b=2/3
c=2
a=2/3

UnkleRhaukus
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\[\color{red}\checkmark\]great work