How do you simplify (33i)(55i)?

1 Answer
Jan 2, 2016

8+2i

Explanation:

Complex numbers can be added like anything else. This expression is no different than

(33x)(55x)

The only potential stumbling blocks are positives/negatives and combining like terms.

First, distribute the negative sign into the second pair of parentheses.

(33i)+(5+5i)

From here, add the constants and imaginary parts separately.

(35)+(3i+5i)

8+2i