Question

what is partial fraction​

Answer 1

Step-by-step explanation:

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions. To decompose a fraction, you first factor the denominator. ... "Partial-Fraction Decomposition: General Techniques.

Answer 2

definition:

In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction is an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.

formula:

Then for each factor in the denominator we can use the following table to determine the term(s) we pick up in the partial fraction decomposition. A1ax+b+A2(ax+b)2+⋯+Ak(ax+b)k A 1 a x + b + A 2 ( a x + b ) 2 + ⋯ + A k ( a x + b ) k , k=1,2,3,…

tips:

The method is called "Partial Fraction Decomposition", and goes like this:

Step 1: Factor the bottom.

Step 2: Write one partial fraction for each of those factors.

Step 3: Multiply through by the bottom so we no longer have fractions.

And we have our answer: