Exercise
$\frac{x+1}{3x^2-3}-\frac{1}{3x+1}$
Step-by-step Solution
Learn how to solve integral calculus problems step by step online. Simplify (x+1)/(3x^2-3)+-1/(3x+1). Factor the polynomial 3x^2-3 by it's greatest common factor (GCF): 3. Factor the difference of squares \left(x^2-1\right) as the product of two conjugated binomials. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete.
Simplify (x+1)/(3x^2-3)+-1/(3x+1)
Final answer to the exercise
$\frac{4x+4}{9x^{3}+3x^2-9x-3}$