What are you trying to do?
sorry unheard :/
I've been trying to do this problem for two days and everyone who tried to explain it made no sense. :/ But here's the original problem: Find the difference of (−5x2 − x3 − 3) − (9x3 + 3x − 6x2). Be sure to show all of your work in a neat and organized fashion.
Try to keep the variables together
Skull showed you what I've been trying to do
$$(−5x^2 − x^3 − 3) − (9x^3 + 3x − 6x^2).$$
The first thing is add the opposite of each term in $$(9x^3 + 3x − 6x^2)$$
Can you tell me where I messed up and see if I can go from there?
you add the -3's
Yes, you need to keep the "similar" terms together. That means write in the variable "x"
To add (or subtract) polynomials you add (or subtract) their similar terms. Similar terms are monomials that are exactly alike or that differ only in their numerical coefficients.
$$(-3x) + (-3) \neq -6$$
It is important to carry along the variable, because of the distributive property of multiplication.
you are doing it correctly, except you have to keep the variables
think of it as having so many "x cubed" and so many "x squared" and so on... and you are keeping track of how many of each type you have.
Okay, is that it? or is there another step for me to do?
That is it.
\[ -10^3 + 1x^2 -3x + (-3) \] is correct. but people often don't bother to write 1 for the coefficient (it is understood to be 1 without putting it in). and + -3 is most often written as -3 in a multiple choice it would probably be written as \[ -10^3 + x^2 -3x -3 \]
The important thing to remember is to carry along the variable, and this is because of the distributive property of multiplication. @unheard
Thanks guys! :)
Thank you for trying to learn :D