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Mathematics 12 Online
OpenStudy (some.random.cool.kid):

3x^2 – 2x – 1 + 9x + 2x^2 - 3

OpenStudy (some.random.cool.kid):

hurry i need help

OpenStudy (rizags):

Combine Like Terms

OpenStudy (some.random.cool.kid):

/ok

OpenStudy (some.random.cool.kid):

can you show me the steps please

OpenStudy (some.random.cool.kid):

not the answer

OpenStudy (solomonzelman):

like terms; examples: \(\large\color{black}{ \displaystyle 2x^2+3x^2=5x^2 }\) \(\large\color{black}{ \displaystyle 9x^w-8x^w=1x^w=x^w }\) \(\large\color{black}{ \displaystyle 2y-5y=-3y }\) \(\large\color{black}{ \displaystyle 14+13=27 }\)

OpenStudy (solomonzelman):

those are examples of the terms you can combine (their coefficients - the numbers in front of the variable - don't matter. And the like term is defined if there is a same variable and it is raised to the same power.)

OpenStudy (some.random.cool.kid):

where did you get 8x?

OpenStudy (solomonzelman):

but you can NOT combine (examples) \(\large\color{red}{ \displaystyle 3x^4+2x^3 }\) (although variable is same, the powers of x are NOT the same) \(\large\color{red}{ \displaystyle 2x^p+3a^p }\) (although the powers of the variable are the same (power of p), because variables are NOT the same.) \(\large\color{red}{ \displaystyle 5+3x }\) (one term contains variable, the other term does not)

OpenStudy (solomonzelman):

@some.random.cool.kid I didn't get 8x. these that I posted are just examples.

OpenStudy (some.random.cool.kid):

can you make the examples for my equation?

OpenStudy (some.random.cool.kid):

i want to know how the equation would be set without any answer @SolomonZelman

OpenStudy (some.random.cool.kid):

@sleepyjess can you help me too

OpenStudy (solomonzelman):

ok, I will highlight each like term in a particular color.

OpenStudy (some.random.cool.kid):

k thanks

OpenStudy (solomonzelman):

\(\LARGE\color{black}{ \displaystyle \color{red}{3x^2} \color{blue}{- 2x} \color{green}{- 1} \color{blue}{+ 9x} \color{red}{+ 2x^2} \color{green}{- 3} }\)

OpenStudy (some.random.cool.kid):

so is it 5x^2 - 7x - 2?

OpenStudy (some.random.cool.kid):

@SolomonZelman

OpenStudy (some.random.cool.kid):

@SolomonZelman

OpenStudy (some.random.cool.kid):

@dan815

OpenStudy (some.random.cool.kid):

@Data_LG2

OpenStudy (anonymous):

-1-3 is?

OpenStudy (some.random.cool.kid):

idk

OpenStudy (some.random.cool.kid):

-2

OpenStudy (some.random.cool.kid):

-4

OpenStudy (solomonzelman):

\(\LARGE\color{black}{ \displaystyle \color{red}{3x^2} \color{blue}{- 2x} \color{green}{- 1} \color{blue}{+ 9x} \color{red}{+ 2x^2} \color{green}{- 3} }\) re-write in order \(\LARGE\color{black}{ \displaystyle \color{red}{3x^2} \color{red}{+ 2x^2}\color{blue}{- 2x}\color{blue}{+ 9x}\color{green}{- 1} \color{green}{- 3} }\)

OpenStudy (solomonzelman):

is this better?

OpenStudy (some.random.cool.kid):

i solved it already

OpenStudy (some.random.cool.kid):

was i correct

OpenStudy (some.random.cool.kid):

its above

OpenStudy (solomonzelman):

no, it is not correct

OpenStudy (solomonzelman):

I wrote it an order better to see just now

OpenStudy (some.random.cool.kid):

5x^2 - 7x + -4 =?

OpenStudy (solomonzelman):

-2+9=-7 or +7?

OpenStudy (some.random.cool.kid):

thats the answer when i combined them now i must solve this

OpenStudy (solomonzelman):

-2 + 9 = -7 or +7 ?

OpenStudy (some.random.cool.kid):

its 7x

OpenStudy (solomonzelman):

yes

OpenStudy (solomonzelman):

\(\LARGE\color{black}{ \displaystyle \color{red}{3x^2} \color{red}{+ 2x^2}\color{blue}{- 2x}\color{blue}{+ 9x}\color{green}{- 1} \color{green}{- 3} }\) \(\LARGE\color{black}{ \displaystyle \color{red}{5x^2}\color{blue}{+7x} \color{green}{- 4} }\)

OpenStudy (some.random.cool.kid):

i solved that part already so from there whats next

OpenStudy (solomonzelman):

this is it

OpenStudy (solomonzelman):

you don't need any work, you combined all the like terms, and now this polynomial is written in a simple form.

OpenStudy (solomonzelman):

simplest* form

OpenStudy (solomonzelman):

yw

OpenStudy (some.random.cool.kid):

thank you very much i have one mor

OpenStudy (some.random.cool.kid):

can i put it @SolomonZelman

OpenStudy (solomonzelman):

can you put it?

OpenStudy (some.random.cool.kid):

8x^2 – 5x – 2 + 7x – x^ + 3

OpenStudy (solomonzelman):

oh, another question? I thought you were referring to the answer to this question. Sure, go ahead and post it here.

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle 8x^2 – 5x – 2 + 7x – x^2 + 3 }\) like this?

OpenStudy (some.random.cool.kid):

ok next is 12x right

OpenStudy (some.random.cool.kid):

because 5x and 12x combined

OpenStudy (some.random.cool.kid):

7x*

OpenStudy (some.random.cool.kid):

and 5 because of 2 + 3

OpenStudy (solomonzelman):

how many x^2 is there?

OpenStudy (some.random.cool.kid):

two

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle 8x^2- 5x - 2 + 7x - x^2 + 3 }\) \(\large\color{black}{ \displaystyle 8x^2 - x^2- 5x + 7x - 2 + 3 }\)

OpenStudy (some.random.cool.kid):

12x and 5

OpenStudy (solomonzelman):

-5+7=12 ??

OpenStudy (solomonzelman):

or does -5+7 =2 ?

OpenStudy (some.random.cool.kid):

2

OpenStudy (some.random.cool.kid):

@SolomonZelman what about the x^2 - 8x^2

OpenStudy (some.random.cool.kid):

2x and 5 now what about the 8 part? @SolomonZelman

OpenStudy (some.random.cool.kid):

hurry

OpenStudy (solomonzelman):

8x² – 5x – 2 + 7x – x² + 3 8x² – x² + 7x – 5x – 2 + 3 7x² + 2x + 1

OpenStudy (some.random.cool.kid):

thanks

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