Question

give a brief note on partial fractions ​

Answer 1

Step-by-step explanation:

What we want to do in this section is to start with rational expressions and ask what simpler rational expressions did we add and/or subtract to get the original expression. The process of doing this is called partial fractions and the result is often called the partial fraction decomposition.

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Answer 2

Answer:

Partial Fraction Decomposition

So let me show you how to do it.

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

Step 1: Factor the bottom

Partial Fractions

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

Partial Fractions

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

Partial Fractions

Step 4: Now find the constants A1 and A2

Substituting the roots, or "zeros", of (x−2)(x+1) can help:

Partial Fractions

And we have our answer:

Partial Fractions

That was easy! ... almost too easy ...

... because it can be a lot harder!

Now we go into detail on each step.