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Popular >

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

Solution

simplify

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

Solution

- 14 + 18 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= - 14 + 18 i

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Frequently Asked Questions (FAQ)

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