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

Answer 1

Avery Alexander

#(x+3)/(x^2+x)#

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Answer 2

Abigail Allen

#(x+3)/(x^2+x)#

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

Make both terms of same denominator,

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

Expand,

#(3x+3)/(x^2+x)-(2x)/(x^2+x)#

Combine,

#(x+3)/(x^2+x)#

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Answer 3

Nathan Axel

To simplify the expression 3/x - 2/(x+1), we need to find a common denominator for the two fractions. The common denominator is x(x+1).

Multiplying the first fraction by (x+1)/(x+1) and the second fraction by x/x, we get:

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

Expanding the numerators, we have:

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

Combining the fractions, we get:

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

Simplifying the numerator, we have:

(x + 3)/(x(x+1))

Therefore, the simplified expression is (x + 3)/(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.