Question

Simplify the expression (10+5i)+(4+9i). Write your answer in terms of a+bi. No spaces.

Answer 1

The simplified expression of (10+5i)+(4+9i) is 14+14i when combining like terms, which includes adding the real parts and the imaginary parts separately.

Step-by-step explanation:

To simplify the expression (10+5i)+(4+9i), we combine like terms, adding the real parts and the imaginary parts separately. The real parts are 10 and 4, and the imaginary parts are 5i and 9i. When we add the real parts together, we get 10 + 4 = 14. When we add the imaginary parts together, we get 5i + 9i = 14i. So, the simplified expression in terms of a+bi is 14+14i.