What is (12)/(x+1)+1/(x-4) ?

The solution to (12)/(x+1)+1/(x-4) is (13x-47)/((x+1)(x-4))

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simplify (12)/(x+1)+1/(x-4)

simplify

\frac{12}{x + 1} + \frac{1}{x - 4}

\frac{13 x - 47}{( x + 1 ) ( x - 4 )}

Solution steps

\frac{12}{x + 1} + \frac{1}{x - 4}

Least Common Multiplier of

x + 1, x - 4 : (x + 1) (x - 4)

Adjust Fractions based on the LCM

= \frac{12 ( x - 4 )}{( x + 1 ) ( x - 4 )} + \frac{x + 1}{( x + 1 ) ( x - 4 )}

Apply the fraction rule:

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

= \frac{12 ( x - 4 ) + x + 1}{( x + 1 ) ( x - 4 )}

Simplify

12 (x - 4) + x + 1 : 13 x - 47

= \frac{13 x - 47}{( x + 1 ) ( x - 4 )}

\frac{1}{n - 1} + \frac{1}{n - 3} - \frac{n - 1}{n ^{2} - 4 n + 3}

1272

(10 x^{3} - 4) (5 x^{6} - 2 x^{3} + 2)

3 \cdot \frac{2 3}{3}

(4 x + 3) (3 x - 8)

What is (12)/(x+1)+1/(x-4) ?
The solution to (12)/(x+1)+1/(x-4) is (13x-47)/((x+1)(x-4))