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f(x) = x²

f(2x) = (2x)² = 4x²

f²(x) = (x²)² = x⁴

(f(2x) + 1)² - 1 = 16(f(x) + f²(x) ) - 8f(x)

(4x² + 1)² - 1 = 16(x² + x⁴) - 8x²

16x⁴ + 8x² + 1 - 1 = 16x² + 16x⁴ - 8x²

16x⁴ + 8x² = 16x⁴ + 8x² - верно

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