What is the product of the multiplication (5−3i)(−2+6i) ?(1 point) Responses −10−18i negative 10 minus 18 i −28+36i negative 28 plus 36 i 8+36i 8 plus 36 i −10+18i
To find the product of (5−3i)(−2+6i), we can use the FOIL method:
(5−3i)(−2+6i) = 5*(-2) + 5*(6i) - 3i*(-2) - 3i*(6i)
= -10 + 30i + 6i - 18i^2
= -10 + 36i - 18(-1) [since i^2 is -1]
= -10 + 36i + 18
= 8 + 36i
Therefore, the product of (5−3i)(−2+6i) is 8 + 36i.