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Popular >

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

Solution

simplify

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

Solution

2 - 16 i

Solution steps

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

Apply complex arithmetic rule:

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

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

Simplify

(1 \cdot (- 3) - 5 (- 1)) + (1 \cdot (- 1) + 5 (- 3)) i : 2 - 16 i

= 2 - 16 i

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Frequently Asked Questions (FAQ)

What is (1+5i)*(-3-i) ?
The solution to (1+5i)*(-3-i) is 2-16i