What is 4/((8-k)(k+5))+(3k^2)/((6k+1)(k+5)) ?

The solution to 4/((8-k)(k+5))+(3k^2)/((6k+1)(k+5)) is (-24k-4+3k^3-24k^2)/((k-8)(k+5)(6k+1))

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simplify 4/((8-k)(k+5))+(3k^2)/((6k+1)(k+5))

simplify

\frac{4}{( 8 - k ) ( k + 5 )} + \frac{3 k ^{2}}{( 6 k + 1 ) ( k + 5 )}

\frac{- 24 k - 4 + 3 k ^{3} - 24 k ^{2}}{( k - 8 ) ( k + 5 ) ( 6 k + 1 )}

Solution steps

\frac{4}{( 8 - k ) ( k + 5 )} + \frac{3 k ^{2}}{( 6 k + 1 ) ( k + 5 )}

Least Common Multiplier of

(8 - k) (k + 5), (6 k + 1) (k + 5) : (k - 8) (k + 5) (6 k + 1)

Adjust Fractions based on the LCM

= \frac{4 ( - 6 k - 1 )}{( k - 8 ) ( k + 5 ) ( 6 k + 1 )} + \frac{3 k ^{2} ( k - 8 )}{( k - 8 ) ( k + 5 ) ( 6 k + 1 )}

Apply the fraction rule:

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

= \frac{4 ( - 6 k - 1 ) + 3 k ^{2} ( k - 8 )}{( k - 8 ) ( k + 5 ) ( 6 k + 1 )}

Simplify

4 (- 6 k - 1) + 3 k^{2} (k - 8) : - 24 k - 4 + 3 k^{3} - 24 k^{2}

= \frac{- 24 k - 4 + 3 k ^{3} - 24 k ^{2}}{( k - 8 ) ( k + 5 ) ( 6 k + 1 )}

(2 y + 1)^{2} - 4 y^{2} = 5

n^{6} - 1

3.66 = (\frac{1000}{( 1000 ) + 7281}) (x)

x^{3} + x^{2} - 20 x = 0

z = \frac{1 + i}{1 - i}

What is 4/((8-k)(k+5))+(3k^2)/((6k+1)(k+5)) ?
The solution to 4/((8-k)(k+5))+(3k^2)/((6k+1)(k+5)) is (-24k-4+3k^3-24k^2)/((k-8)(k+5)(6k+1))