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Mathematics
Zachariah Leach
1 January, 00:13
27p³-1/216-9/2p²+1/4p
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Tripp Christian
1 January, 03:35
0
Answer: (3p - 1/6) ^3
step-by-step explanation:
27p^3 - 1/216 - 9/2p^2 + 1/4p
= (3p) ^3 - (1/6) ^3 - 9/2p^2 + 1/4p
= (3p - 1/6) [ (3p) ^2 + p/2 + 1/36) ] - (3p/2) (3p - 1/6)
= (3p - 1/6) (9p^2 + p/2 + 1/36 - 3p/2)
= (3p - 1/6) (9p^2 - 2p/2 + 1/36)
= (3p - 1/6) (9p^2 - p + 1/36)
= (3p - 1/6) (3p - 1/6) (3p - 1/6)
= (3p - 1/6) ^3
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