ADDITION AND SUBTRACTION OF RATIONAL EXPRESSIONS EXAMPLES
Addition and Subtraction of Rational Expressions Examples :
Here we are going to see how to add or subtract two rational expressions.
Like adding and subtracting two rational numbers, we have two methods to add or subtract two rational expressions.
Addition and Subtraction of Rational Expressions with Like Denominators :
(i) Add or Subtract the numerators
(ii) Write the sum or difference of the numerators found in step (i) over the common denominator.
(iii) Reduce the resulting rational expression into its lowest form
Addition and Subtraction of Rational Expressions with unlike Denominators :
(i) Determine the Least Common Multiple of the denominator.
(ii) Rewrite each fraction as an equivalent fraction with the LCM obtained in step (i). This is done by multiplying both the numerators and denominator of each expression by any factors needed to obtain the LCM.
(iii) Follow the same steps given for doing addition or subtraction of the rational expression with like denominators.
Addition and Subtraction of Rational Expressions Examples - Questions
Question 1 :
Which rational expression should be subtracted from
(x2 + 6x + 8)/(x3 + 8) to get 3/(x2 - 2x + 4)
Let p(x) be the rational expression should be subtracted.
Question 2 :
If A = (2x + 1)/(2x - 1) and B = (2x - 1)/(2x + 1) find 1/(A - B) - 2B/(A2 - B2)