simplify i/(-2-2i)

Solution

simplify

\frac{i}{- 2 - 2 i}

- \frac{1}{4} - \frac{1}{4} i

Solution steps

\frac{i}{- 2 - 2 i}

Multiply by the conjugate

\frac{- 2 + 2 i}{- 2 + 2 i}

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

Simplify

\frac{i ( - 2 + 2 i )}{( - 2 - 2 i ) ( - 2 + 2 i )} : \frac{- 2 i - 2}{8}

= \frac{- 2 i - 2}{8}

Rewrite in standard complex form:

- \frac{1}{4} - \frac{1}{4} i

= - \frac{1}{4} - \frac{1}{4} i

- 5 (- 6 k - 6) - (- 9 k - 10)

12 x^{2} (x - 1) - 4 x (x - 1) - 5 (x - 1)

36 x^{2} + 36 y^{2}

- 8 \frac{7}{10}

3^{3} \cdot 3^{7}