1÷((1÷x)+(1÷y)+(1÷z))

asked by guest
on Jan 15, 2025 at 10:49 am



You asked:

Evaluate the expression: 11x+1y+1z\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}}

MathBot Answer:

11x+1y+1z=11z+1y+1x\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}} = \frac{1}{\frac{1}{z} + \frac{1}{y} + \frac{1}{x}}

Factored

11x+1y+1z=xyzxy+xz+yz\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}} = \frac{x y z}{x y + x z + y z}

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