Mathematical formulas

Algebra

Subjects Home Search

Sections

1Numbers and algebraic properties
2Powers, exponents, and radicals
3Algebraic expressions
4Notable products and identities
5Factorization
6Rational expressions and partial fractions
7Equations
8Inequalities
9Systems of equations
10Functions
11Polynomials
12Exponentials and logarithms
13Complex numbers
14Sequences, finite series, and recurrences
15Vectors
16Matrices
17Determinants and inverses
18Vector spaces
19Linear transformations
20Eigenvalues and diagonalization
21Orthogonality and projections
22Least squares
23Matrix decompositions
24Matrix norms and conditioning
25Boolean algebra
26Modular arithmetic
27Algebraic structures
28Linear codes and error correction
29Relationship maps

Search formulas…

Language

Loading formula…

Mathematical formulas · API-served content · Subjects

About Reviews Contact

Subjects
Algebra
Rational expressions and partial fractions
Partial fractions: distinct linear factors

6. Rational expressions and partial fractions

Partial fractions: distinct linear factors

Level: intermediate

In 6. Rational expressions and partial fractions

Formula

\frac{P ( x )}{( x - a ) ( x - b )} = \frac{A}{x - a} + \frac{B}{x - b}

Detail

Decomposes a rational function into simple terms.

Related formulas

Related
Partial fractions: repeated factor
$\frac{P ( x )}{( x - a ) ^{n}} = k = 1 \sum n \frac{A _{k}}{( x - a ) ^{k}}$
Open formula Open in section
Related
Partial fractions: irreducible quadratic
$\frac{A x + B}{x ^{2} + p x + q}$
Open formula Open in section