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

1 Answer
Feb 8, 2017

#4i-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 or 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#
#7i-3i#

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

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

Hope that answered your question :)