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help123please.

  • 2 years ago

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

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  1. help123please.
    • 2 years ago
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    @mathslover

  2. mathslover
    • 2 years ago
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    Hello 123. First arrange the like terms.

  3. help123please.
    • 2 years ago
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    Hello maths. Okay.

  4. help123please.
    • 2 years ago
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    are 6x^3 and x^3 like terms?

  5. mathslover
    • 2 years ago
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    yes.

  6. help123please.
    • 2 years ago
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    OK.

  7. help123please.
    • 2 years ago
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    Because of their power?

  8. mathslover
    • 2 years ago
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    yes.

  9. mathslover
    • 2 years ago
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    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.

  10. help123please.
    • 2 years ago
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    Okay.

  11. help123please.
    • 2 years ago
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    Because x and y are not the same variable.

  12. mathslover
    • 2 years ago
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    Yes.

  13. help123please.
    • 2 years ago
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    Okay. 6x^2 and 2x^2

  14. help123please.
    • 2 years ago
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    x^3 and 6x^3?

  15. mathslover
    • 2 years ago
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    Yes they are also like terms. 123, can you now arrange the whole expression ?

  16. mathslover
    • 2 years ago
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    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?

  17. help123please.
    • 2 years ago
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    Yes,I think so.

  18. help123please.
    • 2 years ago
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    1. x 2. x^2 3. constants ?

  19. help123please.
    • 2 years ago
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    for example x+3^2-9. Like that?

  20. help123please.
    • 2 years ago
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    I must go....I'll check back on replies tomorrow! Thanks!

  21. mathslover
    • 2 years ago
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    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: \(\large{\color{blue}{-11x - x} \color{green}{-6x^2 + 2x^2 } \color{red}{+x^3 + 6x^3} }\)

  22. mathslover
    • 2 years ago
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    Notice the like terms arrangemenet here.

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