Question

factor 27 + 81. write your answer in the form a(b + c) where a is the gcf of 27 and 81.

Explanation:

Step1: Find GCF of 27 and 81

The factors of 27 are \(1, 3, 9, 27\). The factors of 81 are \(1, 3, 9, 27, 81\). The greatest common factor (GCF) is 27.

Step2: Factor out GCF

Rewrite \(27 + 81\) as \(27\times1 + 27\times3\). Using the distributive property \(a(b + c)=ab + ac\), we factor out 27: \(27(1 + 3)\).

Answer:

\(27(1 + 3)\)