Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)?
Responses
7x2+29x+24
7x2+5x+2
12x2+2
9x2+17x+13−2x2−12x−11
The correct simplification is: \[\text{(9x2+17x+13)−(2x2+12x+11) = 7x2+5x+2}\]
To correctly simplify the given expression, (9x^2 + 17x + 13) - (2x^2 + 12x + 11), you can follow these steps:
1. Remove the parentheses:
9x^2 + 17x + 13 - 2x^2 - 12x - 11
2. Combine like terms that have the same variable and exponent:
(9x^2 - 2x^2) + (17x - 12x) + (13 - 11)
= 7x^2 + 5x + 2
Therefore, the correct simplification of the expression is 7x^2 + 5x + 2.