Question

find the product and write the result in standard form.

• 5i(3i - 6)
• 5i(3i - 6) = \square

(type your answer in the form a + bi. use integers or fractions for any numbers in the expression.)

Explanation:

Step1: Distribute $-5i$ to each term

$-5i(3i) + (-5i)(-6)$

Step2: Calculate each product

$(-5\times3)i^2 + 30i$

Step3: Substitute $i^2=-1$

$-15(-1) + 30i$

Step4: Simplify the real term

$15 + 30i$

Answer:

$15 + 30i$