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

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Question 99550: Use distributive property to rewrite each expression.
9xy-21xyz

Found 2 solutions by timmy1729, bucky:
Answer by timmy1729(23) About Me  (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 3xy%2A%283-7%2Az%29

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
9xy-21xyz
.
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:
.
xy%289+-+21z%29
.
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:
.
3xy%283+-+7z%29
.
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 ... 3xy%283+-+7z%29
.
Hope this helps you to see how to work the problem.