Together

Together[expr]

puts terms in a sum over a common denominator, and cancels factors in the result.

Details and Options

  • Together makes a sum of terms into a single rational function.
  • The denominator of the result of Together is typically the lowest common multiple of the denominators of each of the terms in the sum.
  • Together avoids expanding out denominators unless it is necessary.
  • Together is effectively the inverse of Apart.
  • Together[expr,Modulus->p] generates a result modulo p.
  • Together[expr,Extension->Automatic] allows operations to be performed on algebraic numbers in expr.
  • Together[expr,Trig->True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.
  • Together automatically threads over lists, as well as equations, inequalities and logic functions.

Examples

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Basic Examples  (2)

Combine terms over a common denominator:

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Cancel common factors between the numerator and the denominator:

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Scope  (3)

Options  (6)

Applications  (1)

Properties & Relations  (3)

See Also

Apart  Cancel  Collect  Factor  PolynomialGCD  PadeApproximant

Tutorials

Introduced in 1988
(1.0)
| Updated in 2007
(6.0)