Question

watch the video and then solve the problem given below.
click here to watch the video.
find the following product and write the result in standard form, a + bi.
(-3 + 5i)(3 + i)
(-3 + 5i)(3 + i) = \boxed{} (simplify your answer.)

Explanation:

Step1: Apply FOIL method

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

Step2: Calculate each term

$-9 - 3i + 15i + 5i^2$

Step3: Substitute $i^2=-1$

$-9 - 3i + 15i + 5(-1)$

Step4: Simplify real terms

$-9 -5 - 3i + 15i$

Step5: Combine like terms

$-14 + 12i$

Answer:

$-14 + 12i$