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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.
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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.
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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 ?
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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!
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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:
\(\large{\color{blue}{-11x - x} \color{green}{-6x^2 + 2x^2 } \color{red}{+x^3 + 6x^3} }\)