What is (8k)/(9k-4)-(3k^3)/(2k+7) ?

The solution to (8k)/(9k-4)-(3k^3)/(2k+7) is (16k^2+56k-27k^4+12k^3)/((9k-4)(2k+7))

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simplify (8k)/(9k-4)-(3k^3)/(2k+7)

simplify

\frac{8 k}{9 k - 4} - \frac{3 k ^{3}}{2 k + 7}

\frac{16 k ^{2} + 56 k - 27 k ^{4} + 12 k ^{3}}{( 9 k - 4 ) ( 2 k + 7 )}

Solution steps

\frac{8 k}{9 k - 4} - \frac{3 k ^{3}}{2 k + 7}

Least Common Multiplier of

9 k - 4, 2 k + 7 : (9 k - 4) (2 k + 7)

Adjust Fractions based on the LCM

= \frac{8 k ( 2 k + 7 )}{( 9 k - 4 ) ( 2 k + 7 )} - \frac{3 k ^{3} ( 9 k - 4 )}{( 9 k - 4 ) ( 2 k + 7 )}

Apply the fraction rule:

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

= \frac{8 k ( 2 k + 7 ) - 3 k ^{3} ( 9 k - 4 )}{( 9 k - 4 ) ( 2 k + 7 )}

Simplify

8 k (2 k + 7) - 3 k^{3} (9 k - 4) : 16 k^{2} + 56 k - 27 k^{4} + 12 k^{3}

= \frac{16 k ^{2} + 56 k - 27 k ^{4} + 12 k ^{3}}{( 9 k - 4 ) ( 2 k + 7 )}

5 x^{2} - 3 x + 2 = 0

1.5 \times 1 0^{- 5}

f = 2^{- 1}

2^{\frac{5}{4}} \cdot 3^{\frac{5}{4}}

4 k^{2} - 12 k + 9

What is (8k)/(9k-4)-(3k^3)/(2k+7) ?
The solution to (8k)/(9k-4)-(3k^3)/(2k+7) is (16k^2+56k-27k^4+12k^3)/((9k-4)(2k+7))