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  2. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    The sum of two proper rational fractions is a proper rational fraction as well. The reverse process of expressing a proper rational fraction as the sum of two or more fractions is called resolving it into partial fractions. For example, = + +. Here, the two terms on the right are called partial fractions.

  3. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    [2] [3] Rational fractions are also known as rational expressions. A rational fraction () is called proper if ⁡ < ⁡ (), and improper otherwise. For example, the rational fraction is proper, and the rational fractions + + + and + + are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant ...

  4. List of integrals of rational functions - Wikipedia

    en.wikipedia.org/wiki/List_of_integrals_of...

    The resulting integrands are of the same form as the original integrand, so these reduction formulas can be repeatedly applied to drive the exponents m, n and p toward 0. These reduction formulas can be used for integrands having integer and/or fractional exponents.

  5. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Algebraic operations in the solution to the quadratic equation.The radical sign √, denoting a square root, is equivalent to exponentiation to the power of ⁠ 1 / 2 ⁠.The ± sign means the equation can be written with either a + or a – sign.

  6. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Exponentiation is a mathematical operation, written as b n, involving two numbers, the base b and the exponent (or power) n. When n is a natural number (i.e., a positive integer ), exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases:

  7. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

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