Question

Find the greatest common factor of the terms in the following expression: 6ab + 18a.a6 a3 a2 a

Answer 1

Step-by-step explanation:

Given:

`6ab\text{ + 18a}`

To find:

the greatest common factor

To determine the above, we need to find numbers and terms common to both 6ab and 18a

`\begin{gathered} 6a\text{ is common to both} \\ 6ab\text{ = 6a\lparen b\rparen} \\ 18a\text{ = 6a\lparen3\rparen} \\ \\ 6ab\text{ + 18a = 6a\lparen b + 3\rparen} \\ No\text{ other number is common to b+3 excpet 1} \\ 6a\text{ is factored out, it greatest common factor} \end{gathered}`

The greatest common factor is 6a