What is (2k)/(k-6)+(k^3)/(k+9) ?

The solution to (2k)/(k-6)+(k^3)/(k+9) is (2k^2+18k+k^4-6k^3)/((k-6)(k+9))

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simplify (2k)/(k-6)+(k^3)/(k+9)

simplify

\frac{2 k}{k - 6} + \frac{k ^{3}}{k + 9}

\frac{2 k ^{2} + 18 k + k ^{4} - 6 k ^{3}}{( k - 6 ) ( k + 9 )}

Solution steps

\frac{2 k}{k - 6} + \frac{k ^{3}}{k + 9}

Least Common Multiplier of

k - 6, k + 9 : (k - 6) (k + 9)

Adjust Fractions based on the LCM

= \frac{2 k ( k + 9 )}{( k - 6 ) ( k + 9 )} + \frac{k ^{3} ( k - 6 )}{( k - 6 ) ( k + 9 )}

Apply the fraction rule:

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

= \frac{2 k ( k + 9 ) + k ^{3} ( k - 6 )}{( k - 6 ) ( k + 9 )}

Simplify

2 k (k + 9) + k^{3} (k - 6) : 2 k^{2} + 18 k + k^{4} - 6 k^{3}

= \frac{2 k ^{2} + 18 k + k ^{4} - 6 k ^{3}}{( k - 6 ) ( k + 9 )}

5^{2} + 2^{2} = x^{2}

3 w^{2} - 11 w - 42

3 x^{2} + 24 x + 56 = 0

r^{2} + 36 = 0

x^{2} + 0 x - 1 = 0

What is (2k)/(k-6)+(k^3)/(k+9) ?
The solution to (2k)/(k-6)+(k^3)/(k+9) is (2k^2+18k+k^4-6k^3)/((k-6)(k+9))