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Popular >

simplify (3+4i)(2-i)

Solution

simplify

(3 + 4 i) (2 - i)

Solution

10 + 5 i

Solution steps

(3 + 4 i) (2 - i)

Apply complex arithmetic rule:

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

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

Simplify

(3 \cdot 2 - 4 (- 1)) + (3 (- 1) + 4 \cdot 2) i : 10 + 5 i

= 10 + 5 i

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Frequently Asked Questions (FAQ)

What is (3+4i)(2-i) ?
The solution to (3+4i)(2-i) is 10+5i