Simplify (5-3i)(2+4i)

Problem

(5−3*i)*(2+4*i)

Solution

1. Apply the FOIL method to multiply the two binomials by distributing each term in the first set of parentheses to each term in the second.

(5)*(2)+(5)*(4*i)+(−3*i)*(2)+(−3*i)*(4*i)

2. Multiply the terms individually to simplify the expression.

10+20*i−6*i−12*i2

3. Combine like terms involving the imaginary unit i

10+14*i−12*i2

4. Substitute the value of i2 which is defined as −1

10+14*i−12*(−1)

5. Simplify the constants by performing the multiplication and addition.

10+14*i+12

22+14*i

Final Answer

(5−3*i)*(2+4*i)=22+14*i

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