Combine like terms. Is this right?:)

Question

UkuleleGirl · Answer

attachment

UkuleleGirl · Answer

@hero

UkuleleGirl · Answer

Ik the order is off. Its 2+2x how you know it. But It would take it either way

Questionnare · Answer

Obviously, you cannot write 2xx.

UkuleleGirl · Answer

I didn't write 2 xx

Questionnare · Answer

@ukulelegirl wrote:

I didn't write 2 xx

I know.

UkuleleGirl · Answer

its either 2x or $x^2$

Hero · Answer

Okay let me show you a little trick for these. Suppose you have something like $5x - 4x + 5x$ and they ask you to "Combine Like Terms". What you can do is factor out the common term until you have nothing but coefficients or numbers to either add or subtract. So for example, 
$5x - 4x + 3x$ becomes $(5 - 4 + 3)x$ and now it is obvious to just add/subtract the numbers in parentheses to get $4x$ as the simplified expression.

UkuleleGirl · Answer

That makes sense.

Hero · Answer

More examples:
$7x + 3x - 4x$ becomes $(7 + 3 - 4)x$ which reduces to $(10 - 4)x$ or simply $6x$.

Hero · Answer

So you can apply this same logic to your problem.

UkuleleGirl · Answer

Yes

UkuleleGirl · Answer

but theres only one number. and 2 variables. which is why i said its either 2+2x or 2+$x^2$

Hero · Answer

@ukulelegirl wrote:

but theres only one number. and 2 variables. which is why i said its either 2+2x or 2+$x^2$

False. If you have something like $x + 5x + x$, when you factor out $x$ it becomes $(1 + 5 + 1)x$.

UkuleleGirl · Answer

oh, so it would become (1+2+1)x

Hero · Answer

@ukulelegirl wrote:

oh, so it would become (1+2+1)x

Correct

UkuleleGirl · Answer

that would be 3x

Hero · Answer

@ukulelegirl wrote:

that would be 3x

Incorrect

UkuleleGirl · Answer

wait no 4

UkuleleGirl · Answer

I miscounted

Hero · Answer

@ukulelegirl wrote:

I miscounted

Okay

UkuleleGirl · Answer

its 4x

Questionnare · Answer

@ukulelegirl wrote:

its 4x

Yes!

Hero · Answer

All of math essentially comes down to "counting". So make sure you do that part right.

UkuleleGirl · Answer

Yayyy

Hero · Answer

I showed you this trick to make it easier for you to count.

UkuleleGirl · Answer

heroo...it said it was wrong

Questionnare · Answer

! Maybe you didn't factor right or did the wrong arrangement.

UkuleleGirl · Answer

you don't factor here

Hero · Answer

That's because the answer is $2 + 2x$

Questionnare · Answer

Yes. Not 2x + 2

UkuleleGirl · Answer

uh.....

UkuleleGirl · Answer

the order in delta mathdoesn't matter

Hero · Answer

The answer is $2 + 2x$ or $2x + 2$. I forgot to tell you your original answer was correct as written. I only showed you the "trick" to make it easier for you these problems. But you have to keep up with which terms are "like".

Questionnare · Answer

Hm.

UkuleleGirl · Answer

Yea

Questionnare · Answer

Okay.

x + 2 + x

two x'es

add like terms.

2x + 2

or

2 + 2x

UkuleleGirl · Answer

I got it.

Hero · Answer

@hero wrote:

I showed you this trick to make it easier for you to count.

Next time I will verify your work before showing you any tricks.

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