Answer:
See below
Step-by-step explanation:
1. We can simplify both functions:
- f(x) = x^2 + 2x - 2 - (7x + 7 - 2x^2) = x^2 + 2x - 2 - 7x - 7 + 2x^2 = 3x^2 - 5x - 9
- g(x) = 5x^2 - 8x + (3x - 2x^2 - 9) = 5x^2 - 8x + 3x - 2x^2 - 9 = 3x^2 - 5x - 9
It is evident that these are both equivalent.
2. p^3 + 4p + 4p^2 + 16 = p(p^2 + 4) + 4(p^2 + 4) = (p+4)(p^2 + 4).
