AI Math SolverPartial fraction decomposition splits a complex rational expression into a sum of simpler fractions. Learn what it does, the steps to perform it, and why it is useful for integration.
Solve it with the AI Math SolverMany rational expressions are hard to work with as a single fraction. Decomposition reverses the process of adding fractions — breaking one fraction back into parts whose denominators are the factors of the original.
Factor the denominator fully, write the sum with unknown constants, multiply through to clear denominators, then match coefficients or plug in values to solve for those constants.
It rewrites a complex rational expression as a sum of simpler fractions. This makes integration and other operations easier, because each piece is straightforward on its own.
Factor the denominator, set the expression equal to a sum of unknown constants over each factor, multiply through to clear fractions, then solve for the constants.