SOLUTION: a^2-5a+6/a-3 divided by (a-2)

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Question 235040: a^2-5a+6/a-3 divided by (a-2)
Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem:
%28a%5E2-5a%2B6%29%2F%28a-3%29/%28a-2%29
You can't divide by the second fraction, so you would multiply the reciprocal like so:
%28a%5E2-5a%2B6%29%2F%28a-3%29x1%2F%28a-2%29
Now, when you simplify the numerator on the first fraction, you will FOIL backwards:
%28a-2%29%28a-3%29%2F%28a-3%29x1%2F%28a-2%29
Next, you can cross out like terms in the fractions:
%28a-2%29%2Across%28a-3%29%2Fcross%28a-3%291%2F%28a-2%29
Now, you when you multiply across:
%28a-2%29%2F%28a-2%29
You can simplify to equal 1.