What is (3-7i)/(2+6i)*(2-6i)/(2-6i) ?

The solution to (3-7i)/(2+6i)*(2-6i)/(2-6i) is -9/10-4/5 i

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simplify (3-7i)/(2+6i)*(2-6i)/(2-6i)

simplify

\frac{3 - 7 i}{2 + 6 i} \cdot \frac{2 - 6 i}{2 - 6 i}

- \frac{9}{10} - \frac{4}{5} i

Solution steps

\frac{3 - 7 i}{2 + 6 i} \cdot \frac{2 - 6 i}{2 - 6 i}

Simplify

\frac{3 - 7 i}{2 + 6 i} : - \frac{9}{10} - \frac{4}{5} i

= (- \frac{9}{10} - \frac{4}{5} i) \frac{2 - 6 i}{2 - 6 i}

Simplify

\frac{2 - 6 i}{2 - 6 i} : \frac{40}{40}

= (- \frac{9}{10} - \frac{4}{5} i) \frac{40}{40}

= \frac{40}{40} (- \frac{9}{10} - \frac{4}{5} i)

Apply the fraction rule:

\frac{a}{a} = 1

\frac{40}{40} = 1

= 1 \cdot (- \frac{9}{10} - \frac{4}{5} i)

Apply rule:

1 \cdot a = a

= - \frac{9}{10} - \frac{4}{5} i

2 \times (- 3)

5 \times 5 \times 5

\frac{3}{1}

2 \times 2 \times 2

\frac{12}{4}

What is (3-7i)/(2+6i)*(2-6i)/(2-6i) ?
The solution to (3-7i)/(2+6i)*(2-6i)/(2-6i) is -9/10-4/5 i