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Verified answer
8 (¼p³ - 5p² + p - 3/2) + 6 (5/3 - p + 7p² - ½p³)= (2p³ - 5/8p² + 8p - 12) + (10 - 6p + 42p² - 3p³)
= 2p³ - 3p³ - 5/8p²+ 42p² + 8p - 6p - 12 + 10
= - p³ - 5/8p² + 336/8 p² + 2p - 2
= - p³ + 331/8 p² + 2p - 2
= - p³ + 41 ⅜ p² + 2p - 2