Answer:
4x² + 8x - 8
Explanation:
We are given these following functions:
f(x) = 8x²+3x-1
g(x) = 4x² - 5x + 7
We have to do: f(x) - g(x)
So
f(x) - g(x) = 8x² + 3x - 1 - (4x² - 5x + 7)
The minus means that the signal of everything inside the parenthesis is changed. So
8x² + 3x - 1 - (4x² - 5x + 7) = 8x² + 3x - 1 - 4x² + 5x - 7
Now we combine the like terms:
With x²: 8x² - 4x² = 4x²
With x: 3x + 5x = 8x
Independent: -1 - 7 = -8
The answer is:
4x² + 8x - 8