Home > Algebra > Addition and Subtraction of Rational Expressions

How do you simplify #7/(x^2-3) - 4/(x^2-3)#?

Answer 1

Avery Alexander

#3/(x^2-3)#

Because they have the same denominator, we can combine them over one denominator.

#(7-4)/(x^2-3)#

We can simplify the numerator to simply 3.

#3/(x^2-3)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To simplify the expression 7/(x^2-3) - 4/(x^2-3), you can combine the two fractions by finding a common denominator. Since both fractions have the same denominator of (x^2-3), you can subtract the numerators and keep the denominator the same. The simplified expression is (7-4)/(x^2-3), which simplifies further to 3/(x^2-3).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Jameson Allen

To simplify the expression 7/(x^2 - 3) - 4/(x^2 - 3), we first need to find a common denominator, which is (x^2 - 3) in this case. Then, we combine the fractions by subtracting their numerators while keeping the common denominator.

So, the expression simplifies to:

(7 - 4) / (x^2 - 3) = 3 / (x^2 - 3)

By signing up, you agree to our Terms of Service and Privacy Policy

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.