Question

Can sumone plzhelp..Apply the distributive property to factor out the greatest common factor of all three terms .

9a-18b+21c=

Answer 1

3(3a - 6b + 7c)

Explanation:

Write each term as a multiplication of its factors. Then see which factors are in common to all terms.

9a - 18b + 21c =

= 3 * 3 * a - 2 * 3 * 3 * b + 3 * 7 * c

The common factors are shown below in bold:

= 3 * 3 * a - 2 * 3 * 3 * b + 3 * 7 * c

The only common factor is 3.

Now use the distributive property to factor out a 3.

= 3(3 * a - 2 * 3 * b + 7 * c)

Now multiply each term in parentheses again.

= 3(3a - 6b + 7c)

Answer 2

3(3a - 6b + 7c )

Explanation:

The greatest common factor of 9, 18 and 21 is 3

Factor out 3 from each term

9a - 18b + 21c

= 3(3a - 6b + 7c) ← in factored form