MATH SOLVE

2 months ago

Q:
# Solve step by step : (2+2i)(5+3i)

Accepted Solution

A:

Answer:(2 + 2i)(5 + 3i) = 4 + 16iStep-by-step explanation:Use FOIL: (a + b)(c + d) = ac + ad + bc + bdand i² = -1(2 + 2i)(5 + 3i) = (2)(5) + (2)(3i) + (2i)(5) + (2i)(3i)= 10 + 6i + 10i + 6i² = 10 + 6i + 10i + 6(-1)= 10 + 6i + 10i - 6 combine like terms= (10 - 6) + (6i + 10i)= 4 + 16i