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Popular >

simplify (1+2i)(2-i)

Solution

simplify

(1 + 2 i) (2 - i)

Solution

4 + 3 i

Solution steps

(1 + 2 i) (2 - i)

Apply complex arithmetic rule:

(a + bi) (c + d i) = (a c - b d) + (a d + b c) i

= (1 \cdot 2 - 2 (- 1)) + (1 \cdot (- 1) + 2 \cdot 2) i

Simplify

(1 \cdot 2 - 2 (- 1)) + (1 \cdot (- 1) + 2 \cdot 2) i : 4 + 3 i

= 4 + 3 i

Popular Examples

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

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\frac{5}{9} \cdot \frac{5}{9}

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81 \cdot 6

simplify 8/25-4/5 simplify

\frac{8}{25} - \frac{4}{5}

\frac{2}{5} \div \frac{1}{9}

Frequently Asked Questions (FAQ)

What is (1+2i)(2-i) ?
The solution to (1+2i)(2-i) is 4+3i