# How do you simplify 3+7i-3i-4?

Feb 8, 2017

$4 i - 1$

#### Explanation:

When you are simplifying a polynomial, you have to remember that you are finding the LIKE TERMS. This means the i after the 7 and the other number with nothing after it are from two different families. Just like if you have a ${i}^{2} \mathmr{and} {i}^{3}$ they are from different families and must be sorted differently.

Therefore we are going to join the like terms for this problem:
$3 - 4$
$7 i - 3 i$

Then it is simple addition and subtraction
$- 1$
$4 i$

Putting them in one line and you will get:
$4 i - 1$