Question

Simplifying expressions: Someone please help me answer this? THANKS! (5x4 – 3x3 + 6x) – ( 3x3 + 11x2 – 8x)

Answer 1

you haven't distributed the negative over the second parentheses
that is the first thing to be done.

Answer 2

\((5x^4 – 3x^3 + 6x) – ( 3x^3 + 11x^2 – 8x) = \)

The first step is to deal with the two sets of parentheses.
The first set of parentheses is there just to show you that what is inside is a polynomial.
It is really not needed. That means you can just drop the first set of parentheses.

The second set of parentheses also has a polynomial inside, but since the second polynomial is being subtracted from the first one, the negative sign to the left of the second set of parentheses will change every sign inside the second set of parentheses. You drop the second set of parentheses by changing every sign inside.

\((5x^4 - 3x^3 + 6x) - ( 3x^3 + 11x^2 - 8x) = \)

\(= 5x^4 – 3x^3 + 6x - 3x^3 - 11x^2 + 8x \)

Do you understand it so far?

Answer 3

hmmm.. yes! so far i kinda get it

Answer 4

Once again, all that was done in the step shown above was drop the first set of parentheses because it is unnecessary.
To drop the second set of parentheses, the negative to its left was used to change every sign inside the second set of parentheses.

Now what is left to do is to combine like terms.
Like terms are terms that have the same variable part. That means the same variables and the same exponents of the variables.

Combine like terms to finish the subtraction.

Answer 5

hmmm... I'm having a hard time combining them sorry ): im so bad at these

Answer 6

Now combine like terms.

There is only one term with x^4, so just write it.
x^3: there are two terms: -3x^3 - 3x^3 combine them togehter.
x^2: there is only one term: -11x^2
x: there are two terms: 6x + 8x. Combine them together.

Answer 7

we have to add them together right?

Answer 8

\(= 5x^4 – 3x^3 + 6x - 3x^3 - 11x^2 + 8x\)

\(= 5x^4 – 3x^3 - 3x^3 - 11x^2 + 6x + 8x\)

Add or subtract like terms as shown as shown.

Answer 9

\(= 5x^4 \color{red}{– 3x^3 - 3x^3} \color{green}{ - 11x^2} \color{blue}{+ 6x + 8x}\)

Each color shows a type of term.
If there is only one in the color, leave it as it is.
If there are two in the same color, combine them.

Answer 10

did you get help to find your answer?

Answer 11

@mathstudent55 5x^4-6x^3-11x^2+14x?? :o

Answer 12

Yes! (: @Sean_Will21

Answer 13

ohh okayy

Answer 14

I just saw your icon sitting here so i thought i should come to ask you

Answer 15

awh well thankyou (: thats nice!

Answer 16

Your welcome.....Well i guess i will be going then lol......

Answer 17

see ya

Answer 18

Bye (:

Answer 19

bye

Answer 20

@Dimples97
Correct.

Answer 21

hm..how did i get back here i didnt even click this

Answer 22

since you got your answer, do you want somebody to talk to?

Answer 23

Lol! welcome back

Answer 24

lol

Answer 25

hi