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Popular >

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

Solution

simplify

(1 + i) (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