Simplify 4i(-2-8i)

Problem

4*i*(−2−8*i)

Solution

1. Distribute the term 4*i to both terms inside the parentheses.

4*i*(−2)+4*i*(−8*i)

2. Multiply the coefficients and the imaginary units.

−8*i−32*i2

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

−8*i−32*(−1)

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

−8*i+32

32−8*i

Final Answer

4*i*(−2−8*i)=32−8*i

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