What is (-4-4i)/(10-2i) ?

The solution to (-4-4i)/(10-2i) is -4/13-6/13 i

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simplify (-4-4i)/(10-2i)

simplify

\frac{- 4 - 4 i}{10 - 2 i}

- \frac{4}{13} - \frac{6}{13} i

Solution steps

\frac{- 4 - 4 i}{10 - 2 i}

Multiply by the conjugate

\frac{10 + 2 i}{10 + 2 i}

= \frac{( - 4 - 4 i ) ( 10 + 2 i )}{( 10 - 2 i ) ( 10 + 2 i )}

Simplify

\frac{( - 4 - 4 i ) ( 10 + 2 i )}{( 10 - 2 i ) ( 10 + 2 i )} : \frac{- 32 - 48 i}{104}

= \frac{- 32 - 48 i}{104}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 32}{104} + \frac{- 48}{104} i

Simplify

\frac{- 32}{104} + \frac{- 48}{104} i : - \frac{4}{13} - \frac{6}{13} i

= - \frac{4}{13} - \frac{6}{13} i

\frac{cot ^{2} ( x )}{csc ( x )} - csc (x)

\frac{1}{x ^{2}} \cdot x

(x + 13)^{2}

\frac{3 x}{x - 2} \cdot \frac{x ^{2} - 4}{x ^{2} + 3 x + 2}

\frac{50}{200}