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3 years ago

27p³-1/216-9/2p²+1/4p

Mathematics

1 answer:

xeze [42]3 years ago

3 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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