Combine like terms: 5x2+7y+9x+3x2−2x−y (1 point) Responses 8x2+7y+11x 8 x squared plus 7 y plus 11 x 8x2+6y+7x 8 x squared plus 6 y plus 7 x 15x2+6y 15 x squared plus 6 y 21x2yx
The correct response is: 8x^2 + 7y + 11x
To combine like terms in the expression 5x^2 + 7y + 9x + 3x^2 - 2x - y, we group the terms that have the same variable and add their coefficients.
The terms with x^2 are 5x^2 and 3x^2. Their coefficients can be added to get (5 + 3) = 8. So the resulting term is 8x^2.
The terms with x are 9x, -2x, and 7x. Their coefficients can be added to get (9 - 2 + 7) = 14. So the resulting term is 14x.
The terms with y are 7y and -y. Their coefficients can be added to get (7 - 1) = 6. So the resulting term is 6y.
Putting it all together, the expression simplifies to: 8x^2 + 14x + 6y.
To combine like terms, you need to group together terms that have the same variables raised to the same powers. In this expression, the variables are x and y. Let's simplify it step by step.
Given expression: 5x^2 + 7y + 9x + 3x^2 - 2x - y
First, let's combine the like terms with x^2:
5x^2 + 3x^2 = 8x^2
Next, let's combine the like terms with x:
9x - 2x = 7x
Now, let's combine the like terms with y:
7y - y = 6y
Putting it all together, we have:
8x^2 + 6y + 7x
So, the correct simplified expression is 8x^2 + 6y + 7x.