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Popular >

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

Solution

simplify

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

Solution

- 4 - 7 i

Solution steps

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

Simplify

(- 1 \cdot (- 2) - 2 \cdot 3) + (- 1 \cdot 3 + 2 (- 2)) i : - 4 - 7 i

= - 4 - 7 i

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Frequently Asked Questions (FAQ)

What is (-1+2i)(-2+3i) ?
The solution to (-1+2i)(-2+3i) is -4-7i