Answer:
see explanation
Explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 6x² + 5 + 7 - 5x ← collect like terms
= 6x² - 5x + 12
(fg)(x) = f(x) × g(x)
= (6x² + 5)(7 - 5x)
Each term in the second factor is multiplied by each term in the first factor
=6x²(7 - 5x) + 5(7 - 5x) ← distribute both parenthesis
= 42x² - 30x³ + 35 - 25x
= - 30x³ + 42x² - 25x + 35