(7x² - x - 2 )- (-6x³ + 3)
To simplify, we need to distribute the negative sign to all terms inside the brackets:
7x² - x - 2 + 6x³ - 3
Next, we can rearrange the terms in descending order of degree (highest power of x first):
6x³ + 7x² - x - 5
So the simplified form is 6x³ + 7x² - x - 5.
6x³ + 7x² - x - 5
This is already in simplified form. There is no further simplification possible.
To simplify the expression (7x² - x - 2) - (-6x³ + 3), we apply the distributive property and remember that negating a negative number makes it positive.
First, let's distribute the negative sign to every term in the second parentheses:
(7x² - x - 2) + (6x³ - 3)
Now, let's combine like terms.
For the x³ term, we have 6x³ with a positive sign, so we keep it as positive.
For the x² term, we have 7x² with no corresponding term, so we simply keep it as is.
For the x term, we have -x with no corresponding term, so we simply keep it as is.
For the constant term, we have -2 and -3, so we add them together:
7x² - x - 2 + 6x³ - 3
Finally, we combine like terms:
6x³ + 7x² - x - 5
Thus, the simplified expression is 6x³ + 7x² - x - 5.