Question #982eb

1 Answer
Nov 15, 2017

Answer:

SIMPLIFY:
#4a#

EXPAND:
#2x + 8#

STRETCH:
I'm assuming that this means to distribute and combine like terms, so it's #7x + 33#.

Explanation:

SIMPLIFY:

For the first part, these are all like terms. A like term is something that can be added to something else, since they have the same variables.

You can add the first four #4# #a#'s together to get #4a#. If you're not good with variables, imagine that #a# is an apple and you have four apples. The next part is subtracting an #a#, so you take away an #a# (or an apple) and get #3a#.

The next part is adding an #a# (or an apple) and you get #4a# again, thus your final answer is #4a#.

EXPAND:

You're distributing in this one. Distribution is when you have something (a number or variable) outside of the parenthesis and you multiply it to the terms inside.

You multiply #2# with #x# and get #2x#. You then multiply #2# and #+4# and get #+8#. Thus, #2x + 8#.

STRETCH:

Again, you're distributing and combining like terms. It's a combination of the first part and second part.

Multiply the #3# to the #x# and to the #+7# and you get #3x + 21#. Multiply the #4# to the #x# and the #+3# and you get #4x + 12#.

You can only combine #3x# and #4x# and #12# and #21#. You cannot combine #4x# and #21# because #21# does not have a variable. So, add #3x# and #4x# together to get #7x# and then add #21# and #12# together to get #33#. Thus, #7x + 33#.

Sorry if I dumbed this down, I wanted to make sure you understood every part since you said you weren't good with math. Hope this helped and good luck!