Expand the expression (1/x+z)-1/(x^2)

 Exercise

$\left(\frac{1}{x}+z\right)\left(-\frac{1}{x^2}\right)$

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Multiplying polynomials $\frac{-1}{x^2}$ and $\frac{1}{x}+z$

$\frac{-1}{x^2}\frac{1}{x}+\frac{-1}{x^2}z$

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Multiplying the fraction by $z$

$\frac{-1}{x^2}\frac{1}{x}+\frac{-z}{x^2}$

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Multiplying fractions $\frac{-1}{x^2} \times \frac{1}{x}$

$\frac{-1}{x^2x}+\frac{-z}{x^2}$

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When multiplying exponents with same base you can add the exponents: $x^2x$

$\frac{-1}{x^{2+1}}+\frac{-z}{x^2}$

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Add the values $2$ and $1$

$\frac{-1}{x^{3}}+\frac{-z}{x^2}$

$\frac{-1}{x^{3}}+\frac{-z}{x^2}$

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