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Popular >

simplify (-5+3i)*(1-2i)

Solution

simplify

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

Solution

1 + 13 i

Solution steps

(- 5 + 3 i) (1 - 2 i)

Apply complex arithmetic rule:

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

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

Simplify

(- 5 \cdot 1 - 3 (- 2)) + (- 5 (- 2) + 3 \cdot 1) i : 1 + 13 i

= 1 + 13 i

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Frequently Asked Questions (FAQ)

What is (-5+3i)*(1-2i) ?
The solution to (-5+3i)*(1-2i) is 1+13i