Question

Show the first step when factoring 5a^2b- 5a^2c -5db +5dc by grouping?

Answer 1

`5(a^2b-a^2c-db+dc)`

Explanation:

Given expression is
`5a^2b- 5a^2c -5db +5dc`.

Now we need to show the first step of factoring.

We know that first step of factoring in any problem is to find the GCF that is find the greatest common factor. We see that 5 is the only largest number that can divide each term so 5 is the GCF.

Now we write 5 outside parenthesis and divide given terms by 5 to find the terms that goes inside parenthesis.

Hence first step of factoring is given by :

`5a^2b- 5a^2c -5db +5dc`

`=5(a^2b-a^2c-db+dc)`