Perform the operation. left bracket, x, squared, plus, x, minus, 2, right bracket, plus, left bracket, minus, 2, x, squared, minus, 9, x, minus, 7, right bracket (x 2 +x−2)+(−2x 2 −9x−7)
To simplify the given expression, we need to combine like terms.
We start by expanding the expression within the first set of parentheses: (x^2 + x - 2):
(x^2) + (x) - (2) = x^2 + x - 2
Next, we expand the expression within the second set of parentheses: (-2x^2 - 9x - 7):
(-2x^2) - (9x) - (7) = -2x^2 - 9x - 7
We can now rewrite the given expression with the expanded forms:
(x^2 + x - 2) + (-2x^2 - 9x - 7)
Now, we can combine like terms by grouping them together.
x^2 - 2x^2 + x - 9x - 7 - 2
Simplifying further:
-1x^2 - 8x - 9
So, the simplified expression is -x^2 - 8x - 9.