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Popular >

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

Solution

simplify

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

Solution

8 - 2 i

Solution steps

(1 + i) (3 - 5 i)

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot 3 - 1 \cdot (- 5)) + (1 \cdot (- 5) + 1 \cdot 3) i : 8 - 2 i

= 8 - 2 i

Popular Examples

2x+1>= 6\land 2x+1<= 21

2 x + 1 \geq 6 and 2 x + 1 \leq 21

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factor x^3-4x^2-7x+10 factor

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5 a^{2} - 180 = 0

Frequently Asked Questions (FAQ)

What is (1+i)*(3-5i) ?
The solution to (1+i)*(3-5i) is 8-2i