Lahenda (x-69)(x-420)(x-69420)(x-42069)

$$(x-69)(x-420)(x-69420)(x-42069)$$

Arvuta

$$\left(x-69420\right)\left(x-42069\right)\left(x-420\right)\left(x-69\right)$$

Lahenduse etapid

Rakendage distributiivsusomadus, korrutades avaldise x-69 iga liikme avaldise x-420 iga liikmega.

$$\left(x^{2}-420x-69x+28980\right)\left(x-69420\right)\left(x-42069\right)$$

Kombineerige -420x ja -69x, et leida -489x.

$$\left(x^{2}-489x+28980\right)\left(x-69420\right)\left(x-42069\right)$$

Rakendage distributiivsusomadus, korrutades avaldise x^{2}-489x+28980 iga liikme avaldise x-69420 iga liikmega.

$$\left(x^{3}-69420x^{2}-489x^{2}[phone]x+28980x-2011791600\right)\left(x-42069\right)$$

Kombineerige -69420x^{2} ja -489x^{2}, et leida -69909x^{2}.

$$\left(x^{3}-69909x^{2}[phone]x+28980x-2011791600\right)\left(x-42069\right)$$

Kombineerige 33946380x ja 28980x, et leida 33975360x.

$$\left(x^{3}-69909x^{2}[phone]x-2011791600\right)\left(x-42069\right)$$

Rakendage distributiivsusomadus, korrutades avaldise x^{3}-69909x^{2}[phone]x-2011791600 iga liikme avaldise x-42069 iga liikmega.

$$x^{4}-42069x^{3}-69909x^{3}[phone]x^{2}[phone]x^{2}-1429309419840x-2011791600x+84634060820400$$

Kombineerige -42069x^{3} ja -69909x^{3}, et leida -111978x^{3}.

$$x^{4}-111978x^{3}[phone]x^{2}[phone]x^{2}-1429309419840x-2011791600x+84634060820400$$

Kombineerige 2941001721x^{2} ja 33975360x^{2}, et leida 2974977081x^{2}.

$$x^{4}-111978x^{3}[phone]x^{2}-1429309419840x-2011791600x+84634060820400$$

Kombineerige -1429309419840x ja -2011791600x, et leida -1431321211440x.

$$x^{4}-111978x^{3}[phone]x^{2}-1431321211440x+84634060820400$$

Laienda

$$x^{4}-111978x^{3}[phone]x^{2}-1431321211440x+84634060820400$$

Lahenduse etapid

Rakendage distributiivsusomadus, korrutades avaldise x-69 iga liikme avaldise x-420 iga liikmega.

$$\left(x^{2}-420x-69x+28980\right)\left(x-69420\right)\left(x-42069\right)$$

Kombineerige -420x ja -69x, et leida -489x.

$$\left(x^{2}-489x+28980\right)\left(x-69420\right)\left(x-42069\right)$$

Rakendage distributiivsusomadus, korrutades avaldise x^{2}-489x+28980 iga liikme avaldise x-69420 iga liikmega.

$$\left(x^{3}-69420x^{2}-489x^{2}[phone]x+28980x-2011791600\right)\left(x-42069\right)$$

Kombineerige -69420x^{2} ja -489x^{2}, et leida -69909x^{2}.

$$\left(x^{3}-69909x^{2}[phone]x+28980x-2011791600\right)\left(x-42069\right)$$

Kombineerige 33946380x ja 28980x, et leida 33975360x.

$$\left(x^{3}-69909x^{2}[phone]x-2011791600\right)\left(x-42069\right)$$

Rakendage distributiivsusomadus, korrutades avaldise x^{3}-69909x^{2}[phone]x-2011791600 iga liikme avaldise x-42069 iga liikmega.

$$x^{4}-42069x^{3}-69909x^{3}[phone]x^{2}[phone]x^{2}-1429309419840x-2011791600x+84634060820400$$

Kombineerige -42069x^{3} ja -69909x^{3}, et leida -111978x^{3}.

$$x^{4}-111978x^{3}[phone]x^{2}[phone]x^{2}-1429309419840x-2011791600x+84634060820400$$

Kombineerige 2941001721x^{2} ja 33975360x^{2}, et leida 2974977081x^{2}.

$$x^{4}-111978x^{3}[phone]x^{2}-1429309419840x-2011791600x+84634060820400$$

Kombineerige -1429309419840x ja -2011791600x, et leida -1431321211440x.

$$x^{4}-111978x^{3}[phone]x^{2}-1431321211440x+84634060820400$$