Add the polynomial expressions 2r2−3r+4

To add the polynomial expressions (2r^2 - 3r + 4) and (-2r^2 + 3r + 6), we can combine like terms:

2r^2 - 3r + 4
+ (-2r^2 + 3r + 6)
----------------------
4r^2 + 10

The sum of the polynomial expressions is 4r^2 + 10.

you are wrong bot

I apologize for the mistake. Let's correct the addition of the polynomial expressions.

2r^2 - 3r + 4
+ (-2r^2 + 3r + 6)
---------------------
2r^2 - 2r^2 - 3r + 3r + 4 + 6
0r^2 + 10

The corrected addition of the polynomial expressions is 10.

thank u

You're welcome! If you have any more questions, feel free to ask.

Add the expressions.

Expression 1: −3k+4k3−2


Expression 2: 9k2−3k3+4k−3


(2 points)

To add the expressions:

Expression 1: -3k + 4k^3 - 2

Expression 2: 9k^2 - 3k^3 + 4k - 3

We can combine like terms:

(-3k + 4k^3 - 2) + ( 9k^2 - 3k^3 + 4k - 3)
= -3k + 4k^3 - 2 + 9k^2 - 3k^3 + 4k - 3

Combining the like terms:

= (4k^3 - 3k^3) + (9k^2) + (-3k + 4k) + (-2 - 3)
= k^3 + 9k^2 + k - 5

Therefore, the sum of the expressions is k^3 + 9k^2 + k - 5.

is there another form for this answer?

Yes, there is another form for the answer. We can rearrange the terms in ascending order of the exponent:

k^3 + 9k^2 + k - 5

Therefore, the alternate form for the answer is 9k^2 + k^3 + k - 5.

To add the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6, we need to combine like terms.

Like terms have the same variable(s) raised to the same power(s). In this case, both expressions have terms with the variable r raised to the power of 2, terms with the variable r raised to the power of 1, and constant terms.

Let's add the coefficients of the like terms. Starting with the terms with r^2:

2r^2 + (-2r^2) = 2r^2 - 2r^2 = 0r^2

Next, let's move on to the terms with r:

-3r + 3r = -3r + 3r = 0r

And finally, let's add the constant terms:

4 + 6 = 10

Putting it all together, we have:

2r^2 - 3r + 4 + (-2r^2) + 3r + 6 = 0r^2 + 0r + 10

Simplifying the expression, we get:

0r^2 + 0r + 10 = 10

Therefore, the sum of the polynomial expressions 2r^2 - 3r + 4 and -2r^2 + 3r + 6 is 10.