What is (8k^3)/(7k+2)+(11)/(3k) ?

The solution to (8k^3)/(7k+2)+(11)/(3k) is (24k^4+77k+22)/(3k(7k+2))

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simplify (8k^3)/(7k+2)+(11)/(3k)

simplify

\frac{8 k ^{3}}{7 k + 2} + \frac{11}{3 k}

\frac{24 k ^{4} + 77 k + 22}{3 k ( 7 k + 2 )}

Solution steps

\frac{8 k ^{3}}{7 k + 2} + \frac{11}{3 k}

Least Common Multiplier of

7 k + 2, 3 k : 3 k (7 k + 2)

Adjust Fractions based on the LCM

= \frac{24 k ^{4}}{3 k ( 7 k + 2 )} + \frac{11 ( 7 k + 2 )}{3 k ( 7 k + 2 )}

Apply the fraction rule:

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

= \frac{24 k ^{4} + 11 ( 7 k + 2 )}{3 k ( 7 k + 2 )}

Simplify

24 k^{4} + 11 (7 k + 2) : 24 k^{4} + 77 k + 22

= \frac{24 k ^{4} + 77 k + 22}{3 k ( 7 k + 2 )}

- 13 x + 12 = 13 x + 13

(\frac{3}{5})^{3}

- \frac{1}{5} (x - 4) = - 2

x^{2} - 14 x - 32

\frac{3}{4} - \frac{1}{6}

What is (8k^3)/(7k+2)+(11)/(3k) ?
The solution to (8k^3)/(7k+2)+(11)/(3k) is (24k^4+77k+22)/(3k(7k+2))