Question

can someone help me simplify (1+3i)+(2-5i)

Answer 1

the 1 and the 2 are 'like' terms; both are real numbers. Combine them.
The 3I and the -5i are imaginary quantities. combine them.
Combine these two results to obtain your final sum / answer.

Answer 2

(1+3i)+(2-5i)

1+3i+2-5i ... remove the parenthesis

1+2+3i-5i ... flip the terms

(1+2)+(3i-5i) ... then pair them up into 2 groups (of like terms)

(3) + (-2i) ... combine like terms

3 - 2i


So to sum things up, the basic idea is to combine like terms.
1 and 2 are like terms which add to 1+2 = 3.
3i and -5i are like terms which add to 3i+(-5i) = -2i

Answer 3

thank you two!

Answer 4

you're welcome