combine like terms: 5x^2+7y+9x+3x^2-2x-y
8x^2+11x+7y
8x^2+7x+6y
15x^2+6y
21x^2xy
The correct expression after combining like terms is 8x^2 + 11x + 6y.
To combine like terms, we need to add or subtract the coefficients of the same variables.
In the given expression, we have:
5x^2 + 7y + 9x + 3x^2 - 2x - y
Now, let's combine the like terms:
(5x^2 + 3x^2) + (9x - 2x) + (7y - y)
8x^2 + 7x + 6y
So, the final combined expression is: 8x^2 + 7x + 6y
To combine like terms, you need to add or subtract the coefficients of the terms that have the same variable(s) raised to the same exponent(s).
Let's look at the terms in the given expression:
5x^2 + 7y + 9x + 3x^2 - 2x - y
For the terms with x^2, we have 5x^2 and 3x^2. Since they have the same variable (x) raised to the same exponent (2), we can add their coefficients: 5 + 3 = 8. So we have 8x^2.
Next, for the terms with x, we have 9x, - 2x, and 11x. Again, these have the same variable (x) raised to the power of 1. We can combine their coefficients: 9 - 2 + 11 = 18. So we have 18x.
Lastly, for the terms with y, we have 7y and -y. Similar to x, we can add their coefficients: 7 - 1 = 6. So we have 6y.
Combining the like terms, the simplified expression is:
8x^2 + 18x + 6y
thats not an answer
Apologies for the confusion. The correct combined like terms expression is:
8x^2 + 6x + 6y