Simplify 3i(2i^2-5i)

Problem

3*i*(2*i2−5*i)

Solution

1. Distribute the term 3*i to both terms inside the parentheses.

3*i*(2*i2)−3*i*(5*i)

2. Multiply the coefficients and the powers of i in each term.

6*i3−15*i2

3. Substitute the known values for powers of i where i2=−1 and i3=−i

6*(−i)−15*(−1)

4. Simplify the signs and rearrange the terms into standard complex form a+b*i

−6*i+15

15−6*i

Final Answer

3*i*(2*i2−5*i)=15−6*i

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