Question

simplify.
9i(2 + 3i)
enter your answer in the box in standard form.

Explanation:

Step1: Distribute \(9i\)

Using the distributive property \(a(b + c)=ab+ac\), we have \(9i(2 + 3i)=9i\times2+9i\times3i\).

Step2: Simplify each term

For the first term: \(9i\times2 = 18i\).
For the second term: \(9i\times3i=27i^{2}\). Recall that \(i^{2}=- 1\), so \(27i^{2}=27\times(-1)=-27\).

Step3: Combine terms

Now, combine the real and imaginary parts: \(18i-27=-27 + 18i\).

Answer:

\(-27 + 18i\)