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Popular >

simplify (-6-5i)(1+3i)

Solution

simplify

(- 6 - 5 i) (1 + 3 i)

Solution

9 - 23 i

Solution steps

(- 6 - 5 i) (1 + 3 i)

Apply complex arithmetic rule:

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

= (- 6 \cdot 1 - (- 5) \cdot 3) + (- 6 \cdot 3 - 5 \cdot 1) i

Simplify

(- 6 \cdot 1 - (- 5) \cdot 3) + (- 6 \cdot 3 - 5 \cdot 1) i : 9 - 23 i

= 9 - 23 i

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Frequently Asked Questions (FAQ)

What is (-6-5i)(1+3i) ?
The solution to (-6-5i)(1+3i) is 9-23i