What is (7x)/(x+1)+7/(x^2-1) ?

The solution to (7x)/(x+1)+7/(x^2-1) is (7x^2-7x+7)/((x+1)(x-1))

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simplify (7x)/(x+1)+7/(x^2-1)

simplify

\frac{7 x}{x + 1} + \frac{7}{x ^{2} - 1}

\frac{7 x ^{2} - 7 x + 7}{( x + 1 ) ( x - 1 )}

Solution steps

\frac{7 x}{x + 1} + \frac{7}{x ^{2} - 1}

Least Common Multiplier of

x + 1, x^{2} - 1 : (x + 1) (x - 1)

Adjust Fractions based on the LCM

= \frac{7 x ( x - 1 )}{( x + 1 ) ( x - 1 )} + \frac{7}{( x + 1 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{7 x ( x - 1 ) + 7}{( x + 1 ) ( x - 1 )}

Simplify

7 x (x - 1) + 7 : 7 x^{2} - 7 x + 7

= \frac{7 x ^{2} - 7 x + 7}{( x + 1 ) ( x - 1 )}

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

(- 4 x - 3) (2 x^{2} - 3 x + 4)

\frac{4 2 ^{642}}{22}

\frac{15}{21}

\frac{28}{36}

What is (7x)/(x+1)+7/(x^2-1) ?
The solution to (7x)/(x+1)+7/(x^2-1) is (7x^2-7x+7)/((x+1)(x-1))