Question

Which is equal to (2+3i)+(-4+i)?

A, -2-4i
B, -2-2i
C, -2+2i
D, -2+4i
E, 6+4i

Answer 1

-2+4i the ansewr is D.

Explanation:

Verify Left hand:

Simplify the following:

2 + 3 i - 4 + i

2 + 3 i - 4 + i = (2 - 4) + (3 i + i):

(3 i + i) + (2 - 4)

2 - 4 = -2:

-2 + (3 i + i)

3 i + i = 4 i:

4 i - 2

Factor 2 out of 4 i - 2 giving 2 (2 i - 1):

Answer: 2 (2 i - 1)

Verify Right Hand:

Simplify the following:

4 i - 2

Factor 2 out of 4 i - 2 giving 2 (2 i - 1):

Answer: 2 (2 i - 1)

Answer 2

D. -2+4i

Explanation:

just combine like terms :)