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

Simplify

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