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

The solution to (3x-1)/(x+2)-(x-2)/(x-1) is (2x^2-4x+5)/((x+2)(x-1))

Popular >

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

simplify

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

\frac{2 x ^{2} - 4 x + 5}{( x + 2 ) ( x - 1 )}

Solution steps

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

Least Common Multiplier of

x + 2, x - 1 : (x + 2) (x - 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(3 x - 1) (x - 1) - (x - 2) (x + 2) : 2 x^{2} - 4 x + 5

= \frac{2 x ^{2} - 4 x + 5}{( x + 2 ) ( x - 1 )}

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

4 x^{4} - 16 x^{3} - 180 x^{2}

2 \cdot 32

4 m^{2} - 20 m y + 25 y^{2}

\frac{( - 5 ) ^{3} \cdot 4 ^{6} \cdot ( - 5 ) ^{2}}{4 \cdot ( - 5 ) ^{4}}

What is (3x-1)/(x+2)-(x-2)/(x-1) ?
The solution to (3x-1)/(x+2)-(x-2)/(x-1) is (2x^2-4x+5)/((x+2)(x-1))