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-11x-6x^2+x^3+2x^2-x+6x^3
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help123please.
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@mathslover
mathslover
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Hello 123. First arrange the like terms.
help123please.
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Hello maths. Okay.
help123please.
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are 6x^3 and x^3 like terms?
mathslover
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yes.
help123please.
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OK.
help123please.
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Because of their power?
mathslover
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yes.
mathslover
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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.
help123please.
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Okay.
help123please.
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Because x and y are not the same variable.
mathslover
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Yes.
help123please.
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Okay.
6x^2 and 2x^2
help123please.
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x^3 and 6x^3?
mathslover
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Yes they are also like terms. 123, can you now arrange the whole expression ?
mathslover
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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?
help123please.
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Yes,I think so.
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1. x 2. x^2 3. constants ?
help123please.
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for example x+3^2-9.
Like that?
help123please.
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I must go....I'll check back on replies tomorrow!
Thanks!
mathslover
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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:
\(\large{\color{blue}{-11x - x} \color{green}{-6x^2 + 2x^2 } \color{red}{+x^3 + 6x^3} }\)
mathslover
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Notice the like terms arrangemenet here.