(1-6p+9p^2)÷(3p-1)

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(1-6p+9p^2)÷(3p-1)(1-6p+9p^2)÷(3p-1)(1-6p+9p^2)÷(3p-1)(1-6p+9p^2)÷(3p-1)=(3p-1)^2÷(3p-1)=3p-1

(1-6p+9p^2)÷(3p-1)
(1-6p+9p^2)÷(3p-1)

(1-6p+9p^2)÷(3p-1)
(1-6p+9p^2)÷(3p-1)
=(3p-1)^2÷(3p-1)
=3p-1