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

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

Izrēķināt

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

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru x-69 locekli reizinot ar katru x-420 locekli.

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

Savelciet -420x un -69x, lai iegūtu -489x.

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

Izmantojiet distributīvo īpašību, katru x^{2}-489x+28980 locekli reizinot ar katru x-69420 locekli.

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

Savelciet -69420x^{2} un -489x^{2}, lai iegūtu -69909x^{2}.

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

Savelciet 33946380x un 28980x, lai iegūtu 33975360x.

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

Izmantojiet distributīvo īpašību, katru x^{3}-69909x^{2}[phone]x-2011791600 locekli reizinot ar katru x-42069 locekli.

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

Savelciet -42069x^{3} un -69909x^{3}, lai iegūtu -111978x^{3}.

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

Savelciet 2941001721x^{2} un 33975360x^{2}, lai iegūtu 2974977081x^{2}.

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

Savelciet -1429309419840x un -2011791600x, lai iegūtu -1431321211440x.

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

Paplašināt

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

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru x-69 locekli reizinot ar katru x-420 locekli.

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

Savelciet -420x un -69x, lai iegūtu -489x.

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

Izmantojiet distributīvo īpašību, katru x^{2}-489x+28980 locekli reizinot ar katru x-69420 locekli.

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

Savelciet -69420x^{2} un -489x^{2}, lai iegūtu -69909x^{2}.

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

Savelciet 33946380x un 28980x, lai iegūtu 33975360x.

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

Izmantojiet distributīvo īpašību, katru x^{3}-69909x^{2}[phone]x-2011791600 locekli reizinot ar katru x-42069 locekli.

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

Savelciet -42069x^{3} un -69909x^{3}, lai iegūtu -111978x^{3}.

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

Savelciet 2941001721x^{2} un 33975360x^{2}, lai iegūtu 2974977081x^{2}.

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

Savelciet -1429309419840x un -2011791600x, lai iegūtu -1431321211440x.

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