Perform the operation. (−5x 2 +6x+6)−(6x 2 −5)
To perform the operation, we need to distribute the negative sign to each term in the second parentheses and combine like terms.
(-5x^2 + 6x + 6) - (6x^2 - 5)
First, distribute the negative sign to each term in the second parentheses:
-5x^2 + 6x + 6 - 6x^2 + 5
Next, combine like terms. Since -5x^2 and -6x^2 have the same variable and exponent, we can combine them:
(-5x^2 - 6x^2) + 6x + 6 + 5
Add the coefficients of -5x^2 and -6x^2:
-11x^2 + 6x + 6 + 5
Combine the constants 6 and 5:
-11x^2 + 6x + 11
Therefore, the simplified expression is -11x^2 + 6x + 11.