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Popular >

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

Solution

simplify

(4 - 5 i) (2 + i)

Solution

13 - 6 i

Solution steps

(4 - 5 i) (2 + i)

Apply complex arithmetic rule:

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

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

Simplify

(4 \cdot 2 - (- 5) \cdot 1) + (4 \cdot 1 - 5 \cdot 2) i : 13 - 6 i

= 13 - 6 i

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Frequently Asked Questions (FAQ)

What is (4-5i)(2+i) ?
The solution to (4-5i)(2+i) is 13-6i