Mister Exam
How do you (t^4+9)/(t^4+9t^2) in partial fractions?
The solution
You have entered
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4 t + 9 --------- 4 2 t + 9*t
$$\frac{t^{4} + 9}{t^{4} + 9 t^{2}}$$
(t^4 + 9)/(t^4 + 9*t^2)
Fraction decomposition
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1 + t^(-2) - 10/(9 + t^2)
$$1 - \frac{10}{t^{2} + 9} + \frac{1}{t^{2}}$$
1 10
1 + -- - ------
2 2
t 9 + t
General simplification
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4 9 + t ----------- 2 / 2\ t *\9 + t /
$$\frac{t^{4} + 9}{t^{2} \left(t^{2} + 9\right)}$$
(9 + t^4)/(t^2*(9 + t^2))
Combinatorics
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4 9 + t ----------- 2 / 2\ t *\9 + t /
$$\frac{t^{4} + 9}{t^{2} \left(t^{2} + 9\right)}$$
(9 + t^4)/(t^2*(9 + t^2))
Common denominator
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2
-9 + 9*t
1 - ---------
4 2
t + 9*t
$$- \frac{9 t^{2} - 9}{t^{4} + 9 t^{2}} + 1$$
1 - (-9 + 9*t^2)/(t^4 + 9*t^2)
Combining rational expressions
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4 9 + t ----------- 2 / 2\ t *\9 + t /
$$\frac{t^{4} + 9}{t^{2} \left(t^{2} + 9\right)}$$
(9 + t^4)/(t^2*(9 + t^2))