1/x+1 + 1/y+1 + 1/z+1

asked by guest
on Feb 01, 2025 at 5:50 am



You asked:

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

MathBot Answer:

Evaluated



1x+1+1y+1+1z+1=3+1z+1y+1x\displaystyle \frac{1}{x} + 1 + \frac{1}{y} + 1 + \frac{1}{z} + 1 = 3 + \frac{1}{z} + \frac{1}{y} + \frac{1}{x}

Factored

1x+1+1y+1+1z+1=3xyz+xy+xz+yzxyz\frac{1}{x} + 1 + \frac{1}{y} + 1 + \frac{1}{z} + 1 = \frac{3 x y z + x y + x z + y z}{x y z}

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