What is c/(c^2-d^2)+d/(c^2) ?

The solution to c/(c^2-d^2)+d/(c^2) is (c^3+c^2d-d^3)/(c^2(c+d)(c-d))

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simplify c/(c^2-d^2)+d/(c^2)

simplify

\frac{c}{c ^{2} - d ^{2}} + \frac{d}{c ^{2}}

\frac{c ^{3} + c ^{2} d - d ^{3}}{c ^{2} ( c + d ) ( c - d )}

Solution steps

\frac{c}{c ^{2} - d ^{2}} + \frac{d}{c ^{2}}

Least Common Multiplier of

c^{2} - d^{2}, c^{2} : c^{2} (c + d) (c - d)

Adjust Fractions based on the LCM

= \frac{c ^{3}}{c ^{2} ( c + d ) ( c - d )} + \frac{d ( c + d ) ( c - d )}{c ^{2} ( c + d ) ( c - d )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{c ^{3} + d ( c + d ) ( c - d )}{c ^{2} ( c + d ) ( c - d )}

Simplify

c^{3} + d (c + d) (c - d) : c^{3} + c^{2} d - d^{3}

= \frac{c ^{3} + c ^{2} d - d ^{3}}{c ^{2} ( c + d ) ( c - d )}

∣ m ∣ + 2 = 11

x^{2} \geq 0

3 \leq \frac{1}{2} + m

\frac{5}{\frac{2}{2}}

\frac{1}{9 - 80}

What is c/(c^2-d^2)+d/(c^2) ?
The solution to c/(c^2-d^2)+d/(c^2) is (c^3+c^2d-d^3)/(c^2(c+d)(c-d))