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Mathematics 21 Online
OpenStudy (anonymous):

-11x-6x^2+x^3+2x^2-x+6x^3

OpenStudy (anonymous):

@mathslover

mathslover (mathslover):

Hello 123. First arrange the like terms.

OpenStudy (anonymous):

Hello maths. Okay.

OpenStudy (anonymous):

are 6x^3 and x^3 like terms?

mathslover (mathslover):

yes.

OpenStudy (anonymous):

OK.

OpenStudy (anonymous):

Because of their power?

mathslover (mathslover):

yes.

mathslover (mathslover):

Note that, 6x^2 and 6y^2 are not considered to be like terms. If there is same variable and same power then they are like terms. Like : \(4x\) and \(2x\) etc.

OpenStudy (anonymous):

Okay.

OpenStudy (anonymous):

Because x and y are not the same variable.

mathslover (mathslover):

Yes.

OpenStudy (anonymous):

Okay. 6x^2 and 2x^2

OpenStudy (anonymous):

x^3 and 6x^3?

mathslover (mathslover):

Yes they are also like terms. 123, can you now arrange the whole expression ?

mathslover (mathslover):

Not like that... for example I have : \(\large x+2x^2 + 8x +4x^2 \) then I will write this in arranged form as : \( \large x + 8x + 2x^2 + 4x^2\) Are you understanding my point?

OpenStudy (anonymous):

Yes,I think so.

OpenStudy (anonymous):

1. x 2. x^2 3. constants ?

OpenStudy (anonymous):

for example x+3^2-9. Like that?

OpenStudy (anonymous):

I must go....I'll check back on replies tomorrow! Thanks!

mathslover (mathslover):

See I have : \(\large{-11x-6x^2+x^3+2x^2-x+6x^3}\) Then I have like terms : \(\large{\color{blue}{-11x \quad \& \quad -x }}\) \(\large{\color{green}{-6x^2 \quad \& \quad 2x^2 }}\) \(\large{ \color{red}{x^3 \quad \& \quad 6x^3} }\) Now I can write the original expression as: \(\large{\color{blue}{-11x - x} \color{green}{-6x^2 + 2x^2 } \color{red}{+x^3 + 6x^3} }\)

mathslover (mathslover):

Notice the like terms arrangemenet here.

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