What is 1/x-1/y-1/z ?

The solution to 1/x-1/y-1/z is (yz-xz-xy)/(xyz)

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simplify 1/x-1/y-1/z

simplify

\frac{1}{x} - \frac{1}{y} - \frac{1}{z}

\frac{yz - x z - x y}{x yz}

Solution steps

\frac{1}{x} - \frac{1}{y} - \frac{1}{z}

Least Common Multiplier of

x, y, z : x yz

Adjust Fractions based on the LCM

= \frac{yz}{x yz} - \frac{x z}{x yz} - \frac{x y}{x yz}

Apply the fraction rule:

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

= \frac{yz - x z - x y}{x yz}

(5 + x) (11 - x) < 0

14 x^{2} - x < 4

x^{2} + 12 = 0

(25)^{2}

432