What is 3/5-(3-2i)/(2+i) ?

The solution to 3/5-(3-2i)/(2+i) is -1/5+7/5 i

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simplify 3/5-(3-2i)/(2+i)

simplify

\frac{3}{5} - \frac{3 - 2 i}{2 + i}

- \frac{1}{5} + \frac{7}{5} i

Solution steps

\frac{3}{5} - \frac{3 - 2 i}{2 + i}

Simplify

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

= \frac{3}{5} - \frac{4 - 7 i}{5}

Join

\frac{3}{5} - \frac{4 - 7 i}{5} : \frac{3 - ( 4 - 7 i )}{5}

= \frac{3 - ( 4 - 7 i )}{5}

Simplify

3 - (4 - 7 i) : - 1 + 7 i

= \frac{- 1 + 7 i}{5}

Rewrite in standard complex form:

- \frac{1}{5} + \frac{7}{5} i

= - \frac{1}{5} + \frac{7}{5} i

(x + 3) (x - 3) - (x + 5) (x - 5)

1 + 3.32 lo g_{10} (40)

∣ - 5 + 7 ∣

4 (x + h)^{2} + 2 (x + h) - 3

(x^{2} y^{3})^{- 2}