Question

Simplify the expression to a + bi form: (9-i)-(-3-10i)

Answer 1

To simplify the expression (9-i)-(-3-10i) to a + bi form, distribute the negative sign and combine like terms.

Step-by-step explanation:

To simplify the expression (9-i)-(-3-10i) to a + bi form, we need to distribute the negative sign inside the parentheses. This gives us:

(9-i)-(-3-10i) = 9-i+3+10i

Next, we combine like terms to simplify further:

(9+3)+(-i+10i) = 12+9i

So, the expression (9-i)-(-3-10i) simplifies to 12+9i in a + bi form.