Answer:
-2 + 5i
Step-by-step explanation:
Remember these rules:
real times real = real (e. g., 4(1) = 4)
real times imaginary: imaginary (e. g., 4(2i) = 8i)
imaginary times real imaginary
imaginary times imaginary: real with a negative sign (e. g., (-3i)(2i) = +6
Once again: work out (-3i)(2i). We get (i^2)(-6) = +6
In summary: your (4-3i)(1+2i) becomes 4 + 8i - 3i - (i^2)(-6), or
4 + 5i - 6, or -2 + 5i
