correctly simplifies (9x2+17x+13)−(2x2+12x+11)?
To simplify (9x^2 + 17x + 13) - (2x^2 + 12x + 11), we can combine like terms.
First, let's distribute the negative sign to each term inside the parentheses:
-2x^2 - 12x - 11
Now, we can combine like terms:
(9x^2 - 2x^2) + (17x - 12x) + (13 - 11)
7x^2 + 5x + 2
So, the simplified expression is 7x^2 + 5x + 2.
To correctly simplify the expression (9x^2 + 17x + 13) - (2x^2 + 12x + 11), you need to combine like terms.
First, distribute the negative sign to each term inside the second parentheses:
(9x^2 + 17x + 13) - 2x^2 - 12x - 11
Now, group the like terms together:
(9x^2 - 2x^2) + (17x - 12x) + (13 - 11)
Simplify each grouping:
7x^2 + 5x + 2
Therefore, the simplified expression is 7x^2 + 5x + 2.