Question

The expression ( 3 i ) ( 1 2 i ) can be written in the form a b i , where a and b are integers. what are the values of a and b ?

Answer 1

The expression (3i)(12i) can be simplified to -36. Therefore, the values of a and b are -36 and 0, respectively.

Step-by-step explanation:

To find the value of a and b in the expression (3i)(12i), we can use the distributive property of multiplication. Multiplying 3i and 12i, we get (3)(12)(i)(i) = 36(i)(i).

Since i^2 = -1, we can simplify the expression to 36(-1) = -36.

Therefore, the values of a and b are -36 and 0, respectively.