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

Simplify

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

= 4 - 3 i

Popular Examples

6 (x - 3) = 8 x

simplify-2+12/25 simplify

- 2 + \frac{12}{25}

factor a^2+5ab+4b^2 factor

a^{2} + 5 ab + 4 b^{2}

3.5 (2.25 + x) = 14

simplify 2x+2[y-(4x-[z+2y])+z]-2y simplify

2 x + 2 [y - (4 x - [z + 2 y]) + z] - 2 y

Frequently Asked Questions (FAQ)

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