If P = 2-a, prove that a' + 6ap + p - 8 = 0
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Question = If P = 2-a, prove that a' + 6ap + p - 8=0
Method : p =2-a ------- (1)
L.H.S : a³ + 6ap + p³ - 8
= a³ + 6a (2 - a) + (2 - a)³ - 8 [from (1)]
= a³ + 12a - 6a² + 2³ - 3*2³a + 3*2 a² - 8
= a³ + 12a - 6a² + 8 - 12 a + 6 a² - a³ - 8
= 0
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