Atrisiniet left(x+53right)left(x+55right)left(x+57right)left(x+59right)

$$\left( x+53 \right) \left( x+55 \right) \left( x+57 \right) \left( x+59 \right)$$

Paplašināt

$$x^{4}+224x^{3}+18806x^{2}+701344x+9803145$$

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru x+53 locekli reizinot ar katru x+55 locekli.

$$\left(x^{2}+55x+53x+2915\right)\left(x+57\right)\left(x+59\right)$$

Savelciet 55x un 53x, lai iegūtu 108x.

$$\left(x^{2}+108x+2915\right)\left(x+57\right)\left(x+59\right)$$

Izmantojiet distributīvo īpašību, katru x^{2}+108x+2915 locekli reizinot ar katru x+57 locekli.

$$\left(x^{3}+57x^{2}+108x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Savelciet 57x^{2} un 108x^{2}, lai iegūtu 165x^{2}.

$$\left(x^{3}+165x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Savelciet 6156x un 2915x, lai iegūtu 9071x.

$$\left(x^{3}+165x^{2}+9071x+166155\right)\left(x+59\right)$$

Izmantojiet distributīvo īpašību, katru x^{3}+165x^{2}+9071x+166155 locekli reizinot ar katru x+59 locekli.

$$x^{4}+59x^{3}+165x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Savelciet 59x^{3} un 165x^{3}, lai iegūtu 224x^{3}.

$$x^{4}+224x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Savelciet 9735x^{2} un 9071x^{2}, lai iegūtu 18806x^{2}.

$$x^{4}+224x^{3}+18806x^{2}+535189x+166155x+9803145$$

Savelciet 535189x un 166155x, lai iegūtu 701344x.

$$x^{4}+224x^{3}+18806x^{2}+701344x+9803145$$

Izrēķināt

$$\left(x+53\right)\left(x+55\right)\left(x+57\right)\left(x+59\right)$$

Atrisinājuma darbības

Izmantojiet distributīvo īpašību, katru x+53 locekli reizinot ar katru x+55 locekli.

$$\left(x^{2}+55x+53x+2915\right)\left(x+57\right)\left(x+59\right)$$

Savelciet 55x un 53x, lai iegūtu 108x.

$$\left(x^{2}+108x+2915\right)\left(x+57\right)\left(x+59\right)$$

Izmantojiet distributīvo īpašību, katru x^{2}+108x+2915 locekli reizinot ar katru x+57 locekli.

$$\left(x^{3}+57x^{2}+108x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Savelciet 57x^{2} un 108x^{2}, lai iegūtu 165x^{2}.

$$\left(x^{3}+165x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Savelciet 6156x un 2915x, lai iegūtu 9071x.

$$\left(x^{3}+165x^{2}+9071x+166155\right)\left(x+59\right)$$

Izmantojiet distributīvo īpašību, katru x^{3}+165x^{2}+9071x+166155 locekli reizinot ar katru x+59 locekli.

$$x^{4}+59x^{3}+165x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Savelciet 59x^{3} un 165x^{3}, lai iegūtu 224x^{3}.

$$x^{4}+224x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Savelciet 9735x^{2} un 9071x^{2}, lai iegūtu 18806x^{2}.

$$x^{4}+224x^{3}+18806x^{2}+535189x+166155x+9803145$$

Savelciet 535189x un 166155x, lai iegūtu 701344x.

$$x^{4}+224x^{3}+18806x^{2}+701344x+9803145$$