Chapter 8.5, Problem 35PPS

To determine

To factor: The polynomial $27c{d}^2-18c^2{d}^2+3cd$

Answer to Problem 35PPS

  $3cd\left(9d-6cd+1\right)$

Explanation of Solution

Given:

  $27c{d}^2-18c^2{d}^2+3cd$

Calculation:

The given polynomial is $27c{d}^2-18c^2{d}^2+3cd$

Factor out the GCF

  $\begin{array}{l}27c{d}^2-18c^2{d}^2+3cd\\ =3cd\left(9d-6cd+1\right)\end{array}$

So, the factored form is $3cd\left(9d-6cd+1\right)$