# Algebra 2 adding and subtracting rational expressions worksheet

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Rewrite in descending order.

Find the least common denominator (LCD) for all the denominators by multiplying together the different prime factors with the greatest exponent for each factor.

To add or subtract rational expressions with the same denominators: Add or subtract the numerators as indicated.Adding and Subtracting with Common Denominators.In addition, we need to keep in mind the restrictions on variables.Adding and Subtracting with Different Monomial Denominators.State any restrictions on the variables, then simplify:.Adding and subtracting rational expressions, when adding and subtracting rational expressions, the denominators of the expressions will dictate how we solve the questions.Simplify the resulting rational expression if possible.This rational expression cannot be simplified further.The LCD ( x 3 x 3).The LCD ( x 2 x 2 x 1).Fraccolorgreen x-2colorgreen x1fraccolorblue 3colorblue xfraccolorblue xleft ( x-2 right )colorblue xleft ( x1 right )frac3left ( colorgreen x1 right )xleft ( colorgreen x1 right ) fracxleft ( x-2 right )3left ( x1 right )xleft ( x1 right )fracx2-2x3x3x2x fracx2x3x2x, simplify the rational expression fracx34x-frac2x-1.Completely factor each denominator.Therefore, Example 6 Simplify.Related concepts: Solving rational equations, integration of rational functions by partial fractions.( x 3) is a prime factor.State any restrictions on the variables, then simplify.Find the least common denominator (LCD) for all the denominators.X and y are alternative to anydvd hd already prime factors.