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Popular >

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

Solution

simplify

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

Solution

4 + 2 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

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

= 4 + 2 i

Popular Examples

simplify 6^{-5/4}*6^{-8/7}simplify

6^{- \frac{5}{4}} \cdot 6^{- \frac{8}{7}}

simplify sqrt(14)*10sqrt(12)simplify

14 \cdot 1012

5 x^{2} + x + 1 = 0

- x^{2} - 3 x + 3 = 0

- 40 < 5 g - 35

Frequently Asked Questions (FAQ)

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