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Popular >

simplify (5-4i)(2+i)

Solution

simplify

(5 - 4 i) (2 + i)

Solution

14 - 3 i

Solution steps

(5 - 4 i) (2 + i)

Apply complex arithmetic rule:

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

= (5 \cdot 2 - (- 4) \cdot 1) + (5 \cdot 1 - 4 \cdot 2) i

Simplify

(5 \cdot 2 - (- 4) \cdot 1) + (5 \cdot 1 - 4 \cdot 2) i : 14 - 3 i

= 14 - 3 i

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Frequently Asked Questions (FAQ)

What is (5-4i)(2+i) ?
The solution to (5-4i)(2+i) is 14-3i