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

The solution to 3/(2x)-(y+1)/(3xy) is (7y-2)/(6xy)

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

simplify

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

\frac{7 y - 2}{6 x y}

Solution steps

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

Least Common Multiplier of

2 x, 3 x y : 6 x y

Adjust Fractions based on the LCM

= \frac{9 y}{6 x y} - \frac{( y + 1 ) \cdot 2}{6 x y}

Apply the fraction rule:

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

= \frac{9 y - ( y + 1 ) \cdot 2}{6 x y}

Simplify

9 y - (y + 1) \cdot 2 : 7 y - 2

= \frac{7 y - 2}{6 x y}

0 = x (x - 6)

t^{2} - 9 t = - 14

(- 2 - 4 i) + (1 + 6 i)

(x + 2) (x - 3) \leq 0

16 n^{2} + 40 n + 25