-3f^2 + 4f - 3 + 8f^2 + 7f + 1

5f^2 + 11f - 2

thanks

You're welcome.

To simplify the expression -3f^2 + 4f - 3 + 8f^2 + 7f + 1, we can combine like terms. Like terms have the same variable raised to the same exponent.

First, let's look at the terms with f^2. We have -3f^2 and 8f^2. Since they have the same variable and exponent, we can combine them by adding their coefficients: -3f^2 + 8f^2 = (8 - 3)f^2 = 5f^2.

Next, let's look at the terms with f. We have 4f and 7f. Again, they have the same variable (f) but with an exponent of 1 (which is not explicitly shown). We can combine them by adding their coefficients: 4f + 7f = (4 + 7)f = 11f.

Lastly, let's look at the constant terms. We have -3 and 1. Since they don't have any variables, we simply add them: -3 + 1 = -2.

Now we have simplified the expression: 5f^2 + 11f - 2.