simplify (z-1/z)^2

Solution

simplify

(z - \frac{1}{z})^{2}

\frac{( z ^{2} - 1 ) ^{2}}{z ^{2}}

Solution steps

(z - \frac{1}{z})^{2}

Join

z - \frac{1}{z} : \frac{z ^{2} - 1}{z}

= (\frac{z ^{2} - 1}{z})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( z ^{2} - 1 ) ^{2}}{z ^{2}}

\frac{8}{3} \div \frac{2}{5}

\frac{5}{\frac{1}{x - 2} + 2}

4 x^{2} (5 x + 1)

\frac{( a + bi ) + 1}{2 ( a + bi ) - 5}

- 30 a^{3} + 8 a^{2} + 8 a