ADDING AND SUBTRACTING RATIONAL EXPRESSIONS WITH LIKE DENOMINATOR

Addition of Rational expression :

To add rational expressions with a like denominators, we will put only one denominator and add the numerators. If it is possible, reduce it into lowest terms and get the result.

If p, q, and r are polynomials where r ≠ 0, then

Subtraction of Rational expression :

To subtract rational expressions we will put only one denominator and subtract the numerators. If it is possible, reduce it into lowest terms and get the result.

If p, q, and r are polynomials where r ≠ 0, then

Problem 1 :

Solution :

Since the denominators are the same, add the numerators.

Problem 2 :

Solution :

Since the denominators are the same, add the numerators.

Problem 3 :

Solution :

Since the denominators are the same, subtract the numerators.

Problem 4 :

Solution :

Since the denominators are the same, subtract the numerators.

Problem 5  :

Solution :

Problem 6 :

Solution :

Problem 7 :

Solution :

Problem 8 :

Solution :

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