Question

factorize each of the following.

Answer 1

given 8p^3-(12/5)p^2+(6/25)p-(1/25)
lcm =125
(125×8p^3)-(25×12p^2)+(6×5)p-1
1000p^3-300p^2+30p-1
we use synthetic division

Answer 2

$\huge \bf {8p}^{3} - \frac{12}{5} {p}^{2} + \frac{6}{25} p - \frac{1}{125} \\ \\ \tt \implies \: {(2p)}^{3} - 3.(2p)^{2}. ( \frac{1}{5} ) + 3(2p)( \frac{1}{5} )^{2} - ( \frac{1}{5} )^{3} \\ \\ \implies \: \boxed{ \sf \red{ \bigg(2p - \frac{1}{5} \bigg )^{3}} }$