Combine like terms: 5x2+7y+9x+3x2−2x−y
The expression can be simplified by combining the like terms:
(5x^2 + 3x^2) + (9x - 2x) + (7y - y)
This simplifies to:
8x^2 + 7x + 6y
To combine like terms, we group the terms that have the same variable raised to the same power.
Let's first combine the terms with x:
5x^2 + 9x + 3x^2 - 2x
Now, adding the coefficients of the x terms with the same power:
(5 + 3)x^2 + (9 - 2)x
Simplifying further:
8x^2 + 7x
Next, let's combine the y terms:
7y - y
Adding the coefficients of the y terms:
(7 - 1)y
Simplifying further:
6y
Therefore, combining like terms gives us:
8x^2 + 7x + 6y
To combine like terms, we need to add or subtract the coefficients of the same variables.
Let's start with the variables, x and y.
We have 5x^2 + 7y + 9x + 3x^2 - 2x - y.
Combining the x terms, we have 5x^2 + 9x + 3x^2 - 2x.
Adding the coefficients of x^2, we get 5 + 3 = 8.
Adding the coefficients of x, we get 9 - 2 = 7.
So, the x terms combine to become 8x^2 + 7x.
Next, we combine the y terms.
Adding the coefficients of y, we have 7 - 1 = 6y.
So, the y terms combine to become 6y.
Putting it all together, the expression 5x^2 + 7y + 9x + 3x^2 - 2x - y simplifies to 8x^2 + 7x + 6y.