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Popular >

simplify (4+i)(2-i)

Solution

simplify

(4 + i) (2 - i)

Solution

9 - 2 i

Solution steps

(4 + i) (2 - i)

Apply complex arithmetic rule:

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

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

Simplify

(4 \cdot 2 - 1 \cdot (- 1)) + (4 (- 1) + 1 \cdot 2) i : 9 - 2 i

= 9 - 2 i

Popular Examples

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Frequently Asked Questions (FAQ)

What is (4+i)(2-i) ?
The solution to (4+i)(2-i) is 9-2i