@mathslover

2. mathslover

Hello 123. First arrange the like terms.

Hello maths. Okay.

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

5. mathslover

yes.

OK.

Because of their power?

8. mathslover

yes.

9. 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.

Okay.

Because x and y are not the same variable.

12. mathslover

Yes.

Okay. 6x^2 and 2x^2

x^3 and 6x^3?

15. mathslover

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

16. 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?

Yes,I think so.

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

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

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

21. 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: $$\large{\color{blue}{-11x - x} \color{green}{-6x^2 + 2x^2 } \color{red}{+x^3 + 6x^3} }$$

22. mathslover

Notice the like terms arrangemenet here.