Question

Write the sum or difference in the standard form a + bi.
( 3 + 3i) - ( -6 + i)

Answer 1

When working with complex numbers, we shall make the difference:
(3+3i)-(-6+i) = (3-6)-(3+1)i
since complex numbers are treated as vectors, and we remember that in the substraction of two vectors, we need do the sum with the opposite:
\[(3-6)+(-3-1)i\]
so the result is:
\[-3-4i\]

Answer 2

I see what you did but the choices for the question were -9-2i, -3+4i, 9-2i, 9+2i

Answer 3

Oh, do the opposite of the second before grouping them, try that.

Answer 4

(3+3i)-(-6+i)
3+6+3i-i=9+2i
you shoud add imaginary form with each other and real form with eachother too

Answer 5

thank you both!

Answer 6

your welcome