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Popular >

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

Solution

simplify

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

Solution

11 + 7 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot 5 - 2 (- 3)) + (1 \cdot (- 3) + 2 \cdot 5) i : 11 + 7 i

= 11 + 7 i

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Frequently Asked Questions (FAQ)

What is (1+2i)*(5-3i) ?
The solution to (1+2i)*(5-3i) is 11+7i