Chapter 10.5, Problem 32CCR

To determine

To find: the factorized form of the expression.

Answer to Problem 32CCR

Factor form of the expression $27+108n$ is $27\left(1+4n\right)$ .

Explanation of Solution

Given information:

Expression which needs to be factorize is as follows

  $27+108n$

Calculation:

Expression is $27+108n$

Factorize each terms

  $27\times 1+27\times 4\times n$

Take out the highest common factor of the two terms

  $27\times 1+27\times 4\times n=27\left(1+4n\right)$

Hence on factorizing the given expression, result obtained is $\underset{\_}{27\left(1+4n\right)}$ .