Maths-
General
Easy

### Hint:

The partial fraction decomposition is writing a rational expression as the sum of two or more partial fractions. The following steps are helpful to understand the process to decompose a fraction into partial fractions.

• Step-1: Factorize the numerator and denominator and simplify the rational expression, before doing partial fraction decomposition.
• Step-2: Split the rational expression as per the formula for partial fractions. P/((ax + b)2 = [A/(ax + b)] + [B/(ax + b)2]. There are different partial fractions formulas based on the numerator and denominator expression.
• Step-3: Take the LCM of the factors of the denominators of the partial fractions, and multiply both sides of the equation with this LCM.
• Step-4: Simplify and obtain the values of A and B by comparing coefficients of like terms on both sides.
• Step-5: Substitute the values of the constants A and B on the right side of the equation to obtain the partial fraction.

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