1-6i x 1+6i=37

Question

explaian why

Answer 1

To solve this problem, we can use the FOIL method to multiply the given complex numbers:

(1 - 6i)(1 + 6i) = 1(1) + 1(6i) - 6i(1) - 6i(6i)
= 1 + 6i - 6i - 36i^2

Remember that i^2 is equal to -1, so we can substitute it:

(1 - 6i)(1 + 6i) = 1 + 6i - 6i - 36(-1)
= 1 + 6i - 6i + 36
= 37

Therefore, the product of (1 - 6i) and (1 + 6i) is indeed equal to 37.