Simplify (7-i)(3+3i)

Problem

(7−i)*(3+3*i)

Solution

1. Distribute the terms using the FOIL method (First, Outer, Inner, Last).

7*(3)+7*(3*i)−i(3)−i*(3*i)

2. Multiply the individual terms.

21+21*i−3*i−3*i2

3. Combine the imaginary terms.

21+18*i−3*i2

4. Substitute −1 for i2 based on the definition of the imaginary unit.

21+18*i−3*(−1)

5. Simplify the constant terms.

21+18*i+3

6. Add the real parts together to reach the final form.

24+18*i

Final Answer

(7−i)*(3+3*i)=24+18*i

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