What is 3/(x^2-2x+1)+2/(x^2-1) ?

The solution to 3/(x^2-2x+1)+2/(x^2-1) is (5x+1)/((x-1)^2(x+1))

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simplify 3/(x^2-2x+1)+2/(x^2-1)

simplify

\frac{3}{x ^{2} - 2 x + 1} + \frac{2}{x ^{2} - 1}

\frac{5 x + 1}{( x - 1 ) ^{2} ( x + 1 )}

Solution steps

\frac{3}{x ^{2} - 2 x + 1} + \frac{2}{x ^{2} - 1}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 ( x + 1 )}{( x - 1 ) ^{2} ( x + 1 )} + \frac{2 ( x - 1 )}{( x - 1 ) ^{2} ( x + 1 )}

Apply the fraction rule:

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

= \frac{3 ( x + 1 ) + 2 ( x - 1 )}{( x - 1 ) ^{2} ( x + 1 )}

Simplify

3 (x + 1) + 2 (x - 1) : 5 x + 1

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

\frac{16 x ^{12}}{x ^{4}} - 3 x^{6} (x^{- 1})^{2}

- 11 ab - 15 ab + 26 ab

23 + 43

(7 x^{2} - 12 y^{3}) (7 x^{2} + 12 y^{3})

(2 i + 5) + (4 i - 7)

What is 3/(x^2-2x+1)+2/(x^2-1) ?
The solution to 3/(x^2-2x+1)+2/(x^2-1) is (5x+1)/((x-1)^2(x+1))