about this problem , I figured it out and i did get the answer right except that i had forgotten to make it a negative like this:
directions: subtract
4x-2x^2+4x^3 from 4x^3+x-3x^2
--------------------------------
4x^3-3x^2+x
-(4x^3-2x^2+4x)
---------------
so then it becomes
4x^3-3x^2+x
-4x^3+2x^2-4x
-------------
so then 4x^3 and -4x^3 = cancel out
and -3x^2 - 2x^2 = -x^2
and x - (-4x)=-3x
so the answer is: -x^2-3x
sorry for this part i did a typo:
I said it was this
so then 4x^3 and -4x^3 = cancel out
and -3x^2 - 2x^2 = -x^2
and x - (-4x)=-3x
BUt it should read like this only for this par:
4x^3 and -4x^3 = cancel out
-3+2=-1
and
1 + (-4)= -3
therefore the answer is: what i said on the previous message:
-x^2-3x
4x-2x^2+4x^3 from 4x^3+x-3x^2
4x^3+x-3x^2
-( 4x-2x^2+4x^3)
then changing signs and rearranging terms.
4x^3+x-3x^2
-4x^3-4x+2x^2
answer after ADDING the above..
-3x - x^2
Great job on figuring out the problem and arriving at the correct answer! However, there seems to be a small mistake in your explanation. Let's go through the solution step by step to ensure clarity.
We are subtracting the expression 4x-2x^2+4x^3 from 4x^3+x-3x^2.
To subtract, we need to convert the expression being subtracted into its negative form, which means changing the signs of all the terms in it.
So, the problem becomes:
4x^3+x-3x^2 - (-(4x-2x^2+4x^3))
Now, let's rearrange the terms:
4x^3 + x - 3x^2 - (-4x + 2x^2 - 4x^3)
Now, let's simplify by removing the negative signs and rearranging the terms:
4x^3 + x - 3x^2 + 4x - 2x^2 + 4x^3
Combining like terms, we have:
4x^3 + 4x^3 - 3x^2 - 2x^2 + x + 4x
We can now simplify this expression further:
(4x^3 + 4x^3) - (3x^2 + 2x^2) + (x + 4x)
This simplifies to:
8x^3 - 5x^2 + 5x
So, the correct answer is 8x^3 - 5x^2 + 5x.
If you made any mistakes during your explanation, I hope this clears things up for you. Keep up the good work!