Simplify 2i(5-9i)

Problem

2*i*(5−9*i)

Solution

1. Distribute the term 2*i to both terms inside the parentheses.

2*i(5)−2*i*(9*i)

2. Multiply the coefficients and the imaginary units.

10*i−18*i2

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

10*i−18*(−1)

4. Simplify the expression by performing the multiplication and rearranging into standard form a+b*i

10*i+18

18+10*i

Final Answer

2*i*(5−9*i)=18+10*i

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