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Popular >

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

Solution

simplify

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

Solution

- 5 - i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= - 5 - i

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Frequently Asked Questions (FAQ)

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