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Simplifying expressions

Cancelling common factors and combining fractions.

To simplify a rational expression, factor the numerator and the denominator and cancel what they share: remembering the cancelled factor still forbids the value that made it zero. Sums of fractions are combined over a common denominator, just like numbers.

Eżempju maħdum · simplify (x^2-1)/(x-1)

Algebra · Simplifying

Simplify (x^2 - 1)/(x - 1)

\frac{x^{2} - 1}{x - 1}

Pass b'pass

  1. \frac{x^{2} - 1}{x - 1}

    Start from the expression.

  2. x + 1

    Factor numerator and denominator and cancel common factors.

Jiżvelaw it-tweġiba
x + 1

Issa inti Agħżel problema, jew ittajpja jew iġbed tiegħek stess.Kull pass, stampa, it-tweġiba moħbija sakemm inti tistaqsi.

Żomm tiegħek stess li jaħdmu

Kont b'xejn iżid noti fuq kull lezzjoni, rekord ta' dak li lest, problemi solvuti tiegħek f'post wieħed, u għalliem inti tista' tistaqsi dwar din il-paġna.Il-matematika nnifisha hija miftuħa għal kulħadd, log fil jew le.

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Simboli użati hawnhekk

Taptap kwalunkwe simbolu għad-definizzjoni sħiħa, stampa, u dak li kull ittra fiha tfisser.

Kif għandek tuża: Simplifying expressions

  1. Start from the expression.
  2. Factor numerator and denominator and cancel common factors.

Mistoqsijiet li n-nies jistaqsu

What does it mean to solve an equation?

To find every value of the unknown that makes both sides equal. Each step is an operation applied to both sides that keeps the solution set the same, until the unknown stands alone.

Why do I sometimes get two answers?

A quadratic can cross the axis twice, so it can have two solutions. A degree-n polynomial has up to n. The graph shows where each one comes from.

How do I know whether to factor or use the quadratic formula?

Try factoring for a few seconds: look for two numbers that multiply to a·c and add to b. If nothing obvious appears, the discriminant b² − 4ac tells you how many real roots there are, and the formula finds them without guessing.

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