SOLUTION: Perform the indicated operation. Simplify if possible 5x/x^2-7x+10

SOLUTION: Perform the indicated operation. Simplify if possible 5x/x^2-7x+10 - 10/x^2-7x+10

Question 95841: Perform the indicated operation. Simplify if possible
5x/x^2-7x+10 - 10/x^2-7x+10
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given to simplify:
.

.
Notice that the two fractions have a common denominator. Therefore their numerators
can be combined over the common denominator. When you do that the given polynomial becomes:
.

.
Next notice that in the numerator both terms have a common factor of 5. So factor the numerator
and the polynomial then becomes:
.

.
Then observe that the denominator can be factored to . Substitute this
factored form for the denominator and you have:
.

.
There is a common term in the denominator and the numerator. Cancel this common term:
.

.
and you are left with the simplified form:
.

.
No further simplification is needed. This is your answer.
.
Hope this helps you to understand the problem and how to work it.
.
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