anonymous
  • anonymous
-11x-6x^2+x^3+2x^2-x+6x^3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@mathslover
mathslover
  • mathslover
Hello 123. First arrange the like terms.
anonymous
  • anonymous
Hello maths. Okay.

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anonymous
  • anonymous
are 6x^3 and x^3 like terms?
mathslover
  • mathslover
yes.
anonymous
  • anonymous
OK.
anonymous
  • 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.
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
Because x and y are not the same variable.
mathslover
  • mathslover
Yes.
anonymous
  • anonymous
Okay. 6x^2 and 2x^2
anonymous
  • 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?
anonymous
  • anonymous
Yes,I think so.
anonymous
  • anonymous
1. x 2. x^2 3. constants ?
anonymous
  • anonymous
for example x+3^2-9. Like that?
anonymous
  • 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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