Add the polynomial expressions 2r2−3r+4
and −2r2+3r+6
.(1 point)
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.