What is 2/(x-5)+3/(x-7) ?

The solution to 2/(x-5)+3/(x-7) is (5x-29)/((x-5)(x-7))

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simplify 2/(x-5)+3/(x-7)

simplify

\frac{2}{x - 5} + \frac{3}{x - 7}

\frac{5 x - 29}{( x - 5 ) ( x - 7 )}

Solution steps

\frac{2}{x - 5} + \frac{3}{x - 7}

Least Common Multiplier of

x - 5, x - 7 : (x - 5) (x - 7)

Adjust Fractions based on the LCM

= \frac{2 ( x - 7 )}{( x - 5 ) ( x - 7 )} + \frac{3 ( x - 5 )}{( x - 5 ) ( x - 7 )}

Apply the fraction rule:

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

= \frac{2 ( x - 7 ) + 3 ( x - 5 )}{( x - 5 ) ( x - 7 )}

Simplify

2 (x - 7) + 3 (x - 5) : 5 x - 29

= \frac{5 x - 29}{( x - 5 ) ( x - 7 )}

5 a (ab + 6 b - 2 a)

- 8 x^{2} - 6 + 7 x + 12 x^{2} - 13 x

\frac{1}{4} - \frac{4}{4}

- 9 x^{2} + 12 x - 4

\frac{2 a ^{- 1} + 3 b ^{- 2}}{a ^{- 1} - b ^{- 1}}

What is 2/(x-5)+3/(x-7) ?
The solution to 2/(x-5)+3/(x-7) is (5x-29)/((x-5)(x-7))