What is (x-1)/(x+3)+(2x-5)/(x+2) ?

The solution to (x-1)/(x+3)+(2x-5)/(x+2) is (3x^2+2x-17)/((x+3)(x+2))

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simplify (x-1)/(x+3)+(2x-5)/(x+2)

simplify

\frac{x - 1}{x + 3} + \frac{2 x - 5}{x + 2}

\frac{3 x ^{2} + 2 x - 17}{( x + 3 ) ( x + 2 )}

Solution steps

\frac{x - 1}{x + 3} + \frac{2 x - 5}{x + 2}

Least Common Multiplier of

x + 3, x + 2 : (x + 3) (x + 2)

Adjust Fractions based on the LCM

= \frac{( x - 1 ) ( x + 2 )}{( x + 3 ) ( x + 2 )} + \frac{( 2 x - 5 ) ( x + 3 )}{( x + 3 ) ( x + 2 )}

Apply the fraction rule:

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

= \frac{( x - 1 ) ( x + 2 ) + ( 2 x - 5 ) ( x + 3 )}{( x + 3 ) ( x + 2 )}

Simplify

(x - 1) (x + 2) + (2 x - 5) (x + 3) : 3 x^{2} + 2 x - 17

= \frac{3 x ^{2} + 2 x - 17}{( x + 3 ) ( x + 2 )}

\frac{- 2 π}{3}

π - 0

- 212

\frac{( 3 t ^{- 1} ) ^{- 3}}{4 t ^{7} j}

- (3 x y^{4})^{- 4}

What is (x-1)/(x+3)+(2x-5)/(x+2) ?
The solution to (x-1)/(x+3)+(2x-5)/(x+2) is (3x^2+2x-17)/((x+3)(x+2))