MultiplySides

MultiplySides[rel,x]

multiplies each side of the equation or inequality rel by x.

MultiplySides[rel1,rel2]

multiplies the corresponding sides of two equations or inequalities.

Details and Options

  • The relations rel can have any of the following forms:
  • lhs==rhsequations
    lhs!=rhsinequations
    lhs>rhs or lhs>=rhs inequalities
    ab>cgeneralized inequalities
  • The following options can be given:
  • Assumptions$Assumptionsassumptions on parameters
    GenerateConditionsAutomaticwhether to generate conditions on parameters
    TimeConstraint30time allowed for simplifying conditions
  • Possible settings for GenerateConditions include:
  • Allreturn all possible answers using Piecewise
    Automaticreturn a condition only if it is not generically satisfied
    Truereturn any condition that is needed
    Falsenever return any needed conditions
    Nonereturn unevaluated if conditions are needed

Examples

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Basic Examples  (3)

Multiply both sides of an equation by 3:

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Multiply the corresponding sides of two equations:

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Multiply both sides of an inequality by the number b:

In[1]:=
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Scope  (6)

Options  (3)

Applications  (1)

Properties & Relations  (5)

See Also

AddSides  SubtractSides  DivideSides  Solve  Reduce  ApplySides  Simplify  Factor  Expand

Introduced in 2018
(11.3)