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How do you simplify #2/(x-1)-3/x#?

Answer 1

Eli Assouline

#(-x+3)/(x(x-1))#

Adding algebraic fractions #rarr# Find the common denominator first.

#2/(x-1)-3/x#

= #(2x - 3(x-1))/(x(x-1)) " "larr "multiply out the bracket on top"#

=#(2x-3x+3)/(x(x-1)) " "larr" collect like terms"#

=#(-x+3)/(x(x-1))#

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Answer 2

Jameson Allen

To simplify the expression 2/(x-1) - 3/x, you need to find a common denominator and combine the fractions. The common denominator is (x-1)x. Multiplying the first fraction by x/x and the second fraction by (x-1)/(x-1), we get (2x - 2(x-1))/(x(x-1)). Simplifying further, we have (2x - 2x + 2)/(x(x-1)), which simplifies to 2/(x(x-1)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.