Simplify 1/(x^3y^2)-1

$\frac{1}{x^{3} y^{2}} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{x^{3} y^{2}}{x^{3} y^{2}}$ .

$\frac{1}{x^{3} y^{2}} - 1 \cdot \frac{x^{3} y^{2}}{x^{3} y^{2}}$

Combine $- 1$ and $\frac{x^{3} y^{2}}{x^{3} y^{2}}$ .

$\frac{1}{x^{3} y^{2}} + \frac{- (x^{3} y^{2})}{x^{3} y^{2}}$

Combine the numerators over the common denominator.

$\frac{1 - x^{3} y^{2}}{x^{3} y^{2}}$