today is my paper please give answer
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4.
Now, 27p³ - 1/216 - 9/2 p² + 1/4 p
= 27p³ - 9/2 p² + 1/4 p - 1/216
= (3p)³ - 3 (3p)² (1/6) + 3 (3p) (1/6)² - (1/6)³
= (3p - 1/6)³
= (3p - 1/6) (3p - 1/6) (3p - 1/6) ,
which is the required factorization.
5.
Now, 2y³ + y² + 2y - 1
= 2y³ + 2y + y² - 1
= 2y (y² + 1) + 1 (y² - 1)
However we proceed, factorization isn't possible.
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