Final answer:
To evaluate the given expression, the second polynomial is subtracted from the first by changing the sign of each of its terms, resulting in the simplified expression 3x² + 3x - 7.
Step-by-step explanation:
To evaluate the expression (6x² - 4x - 5) - (3x² - 7x + 2), we need to subtract the second polynomial from the first. This involves changing the sign of each term in the second polynomial before adding it to the first:
- 6x² - 3x² = 3x²
- -4x - (-7x) = -4x + 7x = 3x
- -5 - 2 = -7
The result of the operation is 3x² + 3x - 7.
To evaluate the expression (6x²- 4x-5)-(3x²-7x +2), we need to simplify it by combining like terms. In this case, we have similar terms, which are the x² terms, the x terms, and the constant terms.
First, let's combine the x² terms: 6x² - 3x² = 3x².
Then, let's combine the x terms: -4x - (-7x) = -4x + 7x = 3x.
Finally, let's combine the constant terms: -5 - 2 = -7.
Therefore, the simplified expression is 3x² + 3x - 7.