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Popular >

simplify (-3+2i)(1-4i)

Solution

simplify

(- 3 + 2 i) (1 - 4 i)

Solution

5 + 14 i

Solution steps

(- 3 + 2 i) (1 - 4 i)

Apply complex arithmetic rule:

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

= (- 3 \cdot 1 - 2 (- 4)) + (- 3 (- 4) + 2 \cdot 1) i

Simplify

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

= 5 + 14 i

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Frequently Asked Questions (FAQ)

What is (-3+2i)(1-4i) ?
The solution to (-3+2i)(1-4i) is 5+14i