Atrisiniet left(x-1right)left(x-2right)left(x-3right)left(x-4right)x

$$\left( x-1 \right) \left( x-2 \right) \left( x-3 \right) \left( x-4 \right) x$$

Izrēķināt

$$x\left(x-4\right)\left(x-3\right)\left(x-2\right)\left(x-1\right)$$

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru x-1 locekli reizinot ar katru x-2 locekli.

$$\left(x^{2}-2x-x+2\right)\left(x-3\right)\left(x-4\right)x$$

Savelciet -2x un -x, lai iegūtu -3x.

$$\left(x^{2}-3x+2\right)\left(x-3\right)\left(x-4\right)x$$

Izmantojiet distributīvo īpašību, katru x^{2}-3x+2 locekli reizinot ar katru x-3 locekli.

$$\left(x^{3}-3x^{2}-3x^{2}+9x+2x-6\right)\left(x-4\right)x$$

Savelciet -3x^{2} un -3x^{2}, lai iegūtu -6x^{2}.

$$\left(x^{3}-6x^{2}+9x+2x-6\right)\left(x-4\right)x$$

Savelciet 9x un 2x, lai iegūtu 11x.

$$\left(x^{3}-6x^{2}+11x-6\right)\left(x-4\right)x$$

Izmantojiet distributīvo īpašību, katru x^{3}-6x^{2}+11x-6 locekli reizinot ar katru x-4 locekli.

$$\left(x^{4}-4x^{3}-6x^{3}+24x^{2}+11x^{2}-44x-6x+24\right)x$$

Savelciet -4x^{3} un -6x^{3}, lai iegūtu -10x^{3}.

$$\left(x^{4}-10x^{3}+24x^{2}+11x^{2}-44x-6x+24\right)x$$

Savelciet 24x^{2} un 11x^{2}, lai iegūtu 35x^{2}.

$$\left(x^{4}-10x^{3}+35x^{2}-44x-6x+24\right)x$$

Savelciet -44x un -6x, lai iegūtu -50x.

$$\left(x^{4}-10x^{3}+35x^{2}-50x+24\right)x$$

Izmantojiet distributīvo īpašību, lai reizinātu x^{4}-10x^{3}+35x^{2}-50x+24 ar x.

$$x^{5}-10x^{4}+35x^{3}-50x^{2}+24x$$

Paplašināt

$$x^{5}-10x^{4}+35x^{3}-50x^{2}+24x$$

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru x-1 locekli reizinot ar katru x-2 locekli.

$$\left(x^{2}-2x-x+2\right)\left(x-3\right)\left(x-4\right)x$$

Savelciet -2x un -x, lai iegūtu -3x.

$$\left(x^{2}-3x+2\right)\left(x-3\right)\left(x-4\right)x$$

Izmantojiet distributīvo īpašību, katru x^{2}-3x+2 locekli reizinot ar katru x-3 locekli.

$$\left(x^{3}-3x^{2}-3x^{2}+9x+2x-6\right)\left(x-4\right)x$$

Savelciet -3x^{2} un -3x^{2}, lai iegūtu -6x^{2}.

$$\left(x^{3}-6x^{2}+9x+2x-6\right)\left(x-4\right)x$$

Savelciet 9x un 2x, lai iegūtu 11x.

$$\left(x^{3}-6x^{2}+11x-6\right)\left(x-4\right)x$$

Izmantojiet distributīvo īpašību, katru x^{3}-6x^{2}+11x-6 locekli reizinot ar katru x-4 locekli.

$$\left(x^{4}-4x^{3}-6x^{3}+24x^{2}+11x^{2}-44x-6x+24\right)x$$

Savelciet -4x^{3} un -6x^{3}, lai iegūtu -10x^{3}.

$$\left(x^{4}-10x^{3}+24x^{2}+11x^{2}-44x-6x+24\right)x$$

Savelciet 24x^{2} un 11x^{2}, lai iegūtu 35x^{2}.

$$\left(x^{4}-10x^{3}+35x^{2}-44x-6x+24\right)x$$

Savelciet -44x un -6x, lai iegūtu -50x.

$$\left(x^{4}-10x^{3}+35x^{2}-50x+24\right)x$$

Izmantojiet distributīvo īpašību, lai reizinātu x^{4}-10x^{3}+35x^{2}-50x+24 ar x.

$$x^{5}-10x^{4}+35x^{3}-50x^{2}+24x$$