What is (2x+3)/(x-8)+(3x+7)/(x-1) ?

The solution to (2x+3)/(x-8)+(3x+7)/(x-1) is (5x^2-16x-59)/((x-8)(x-1))

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simplify (2x+3)/(x-8)+(3x+7)/(x-1)

simplify

\frac{2 x + 3}{x - 8} + \frac{3 x + 7}{x - 1}

\frac{5 x ^{2} - 16 x - 59}{( x - 8 ) ( x - 1 )}

Solution steps

\frac{2 x + 3}{x - 8} + \frac{3 x + 7}{x - 1}

Least Common Multiplier of

x - 8, x - 1 : (x - 8) (x - 1)

Adjust Fractions based on the LCM

= \frac{( 2 x + 3 ) ( x - 1 )}{( x - 8 ) ( x - 1 )} + \frac{( 3 x + 7 ) ( x - 8 )}{( x - 8 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{( 2 x + 3 ) ( x - 1 ) + ( 3 x + 7 ) ( x - 8 )}{( x - 8 ) ( x - 1 )}

Simplify

(2 x + 3) (x - 1) + (3 x + 7) (x - 8) : 5 x^{2} - 16 x - 59

= \frac{5 x ^{2} - 16 x - 59}{( x - 8 ) ( x - 1 )}

4 x + 5 x

4 x + 4 x

- 7 - 6

(4 x - 3 y)^{3}

(- 2 - 7 i) (- 2 + 7 i)

What is (2x+3)/(x-8)+(3x+7)/(x-1) ?
The solution to (2x+3)/(x-8)+(3x+7)/(x-1) is (5x^2-16x-59)/((x-8)(x-1))