Riješi 25^3-1=(25-1)(25^2+25+1)=24(25^2+26)

$$25 ^ { 3 } - 1 = ( 25 - 1 ) ( 25 ^ { 2 } + 25 + 1 ) = 24 ( 25 ^ { 2 } + 26 )$$

Potvrdi

Koraci za rješenje

Izračunajte 25 stepen od 3 i dobijte 15625.

$$15625-1=\left(25-1\right)\left(25^{2}+25+1\right)\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Oduzmite 1 od 15625 da biste dobili 15624.

$$15624=\left(25-1\right)\left(25^{2}+25+1\right)\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Oduzmite 1 od 25 da biste dobili 24.

$$15624=24\left(25^{2}+25+1\right)\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Izračunajte 25 stepen od 2 i dobijte 625.

$$15624=24\left(625+25+1\right)\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Saberite 625 i 25 da biste dobili 650.

$$15624=24\left(650+1\right)\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Saberite 650 i 1 da biste dobili 651.

$$15624=24\times 651\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Pomnožite 24 i 651 da biste dobili 15624.

$$15624=15624\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Uporedite 15624 i 15624.

$$\text{true}\text{ and }\left(25-1\right)\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Oduzmite 1 od 25 da biste dobili 24.

$$\text{true}\text{ and }24\left(25^{2}+25+1\right)=24\left(25^{2}+26\right)$$

Izračunajte 25 stepen od 2 i dobijte 625.

$$\text{true}\text{ and }24\left(625+25+1\right)=24\left(25^{2}+26\right)$$

Saberite 625 i 25 da biste dobili 650.

$$\text{true}\text{ and }24\left(650+1\right)=24\left(25^{2}+26\right)$$

Saberite 650 i 1 da biste dobili 651.

$$\text{true}\text{ and }24\times 651=24\left(25^{2}+26\right)$$

Pomnožite 24 i 651 da biste dobili 15624.

$$\text{true}\text{ and }15624=24\left(25^{2}+26\right)$$

Izračunajte 25 stepen od 2 i dobijte 625.

$$\text{true}\text{ and }15624=24\left(625+26\right)$$

Saberite 625 i 26 da biste dobili 651.

$$\text{true}\text{ and }15624=24\times 651$$

Pomnožite 24 i 651 da biste dobili 15624.

$$\text{true}\text{ and }15624=15624$$

Uporedite 15624 i 15624.

$$\text{true}\text{ and }\text{true}$$

Konjunkcija \text{true} i \text{true} je \text{true}.

$$\text{true}$$