Question

factorise 27p^3-1/216-9/2p^2+1/4p?

Answer 1

Hlo friend..

Please see the attached picture...

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@sunita

Answer 2

To Find:

27p³ - $\frac{1}{216}$ - $\frac{9}{2}p$² + $\frac{1}{4}p$

Solution:

⇒ 27p³ - $\frac{1}{216}$ - $\frac{9}{2}p$² + $\frac{1}{4}p$

simplifying the given equation

⇒ (3p)³ - $(\frac {1}{6})$³ - 3(3p)²×$\frac{1}{6}$ + 3(3p)($\frac{1}{6}$)

⇒ (3p - $\frac{1}{6}$)³

⇒ (3p - $\frac{1}{6}$) (3p - $\frac{1}{6}$)(3p - $\frac{1}{6}$)

Hence, the given equation is factorized.