SOLUTION: divide & check 48x*3y*2 ----------- ---- 8x*7y*2

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Question 195727: divide & check
48x*3y*2
----------------
8x*7y*2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%2848x%5E3y%5E2%29%2F%288x%5E7y%5E2%29 Start with the given expression.


Expand.


Note: 48x%5E3y%5E2=2%2A2%2A2%2A2%2A3%2Ax%2Ax%2Ax%2Ay%2Ay and 8x%5E7y%5E2=2%2A2%2A2%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ay%2Ay


Highlight the common terms.


Cancel out the common terms.


%282%2A3%29%2F%28x%2Ax%2Ax%2Ax%29 Simplify.


6%2F%28x%5E4%29 Multiply.


So %2848x%5E3y%5E2%29%2F%288x%5E7y%5E2%29 simplifies to 6%2F%28x%5E4%29.


In other words, %2848x%5E3y%5E2%29%2F%288x%5E7y%5E2%29=6%2F%28x%5E4%29 where every variable is non zero