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Popular >

simplify (1+5i)(4-2i)

Solution

simplify

(1 + 5 i) (4 - 2 i)

Solution

14 + 18 i

Solution steps

(1 + 5 i) (4 - 2 i)

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot 4 - 5 (- 2)) + (1 \cdot (- 2) + 5 \cdot 4) i : 14 + 18 i

= 14 + 18 i

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Frequently Asked Questions (FAQ)

What is (1+5i)(4-2i) ?
The solution to (1+5i)(4-2i) is 14+18i