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Factoring

Common factors, difference of squares, trinomials and cubes.

Factoring reverses multiplication. Always take out a common factor first, then look for a pattern: a² − b² = (a − b)(a + b); a² ± 2ab + b² = (a ± b)²; a³ ± b³ = (a ± b)(a² ∓ ab + b²); and for a trinomial, two numbers whose product is a·c and whose sum is b.

Fungerat exempel: factor x^2 - 9

Algebra · Factoring

Factor x^2 - 9

x^{2} - 9

Steg för steg

  1. x^{2} - 9

    Start from the expression.

  2. \left(x - 3\right) \left(x + 3\right)

    Difference of two squares: a² − b² = (a − b)(a + b).

Avslöja svaret
\left(x - 3\right) \left(x + 3\right)

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