SOLUTION: Use distributive property to rewrite each expression. 9xy-21xyz

Question 99550: Use distributive property to rewrite each expression.
9xy-21xyz
Found 2 solutions by timmy1729, bucky:
Answer by timmy1729(23) (Show Source): You can put this solution on YOUR website!
You need to find the greatest common divisor. In this case it is 3xy. So it would be
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Look for the common items in both of the terms and pull them out as factors. The most obvious
common terms are the x and the y. So you can pull them out to get:
.

.
but notice in the parentheses that a factor of 3 can be taken out because both the 9 and the -21
can be divided by 3. When you divide the 9 by 3 you are left with 3 in the parentheses
and when you divide the -21 by 3 you are left with -7 in the parentheses.
.
This makes the answer become:
.

.
You can check this answer by multiplying the 3xy times each of the terms inside the parentheses.
The 3xy times the 3 gives you 9xy and the 3xy times -7z results in -21xyz. So you have
multiplied your way back to 9xy - 21xyz and this is the problem you started with. So
the answer is correct ...
.
Hope this helps you to see how to work the problem.
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