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a. f(x) - g(x) = 25 - 2x - (x^4 + 3x² - 2) = -x^4 - 3x² - 2x + 27
b. f(x) + g(x) = 25 - 2x + x^4 + 3x² - 2 = x^4 + 3x² - 2x + 23
c. f(x)g(x) = (25-2x)(x^4+3x²-2)
= 25x^4 + 75x² - 50 -2x^5 - 6x³ + 4x
= -2x^5 + 25x^4 - 6x³ + 75x² + 4x - 50