Resolver 789*789*789+211*211*211/789*789-789*211+211*211=?

$$\frac { 789 \times 789 \times 789 + 211 \times 211 \times 211 } { 789 \times 789 - 789 \times 211 + 211 \times 211 } = ?$$

Avaliar

$$1000$$

Passos Para a Resolução

Multiplique 789 e 789 para obter 622521. Multiplique 211 e 211 para obter 44521.

$$\frac{622521\times 789+44521\times 211}{789\times 789-789\times 211+211\times 211}$$

Multiplique 622521 e 789 para obter 491169069.

$$\frac{491169069+44521\times 211}{789\times 789-789\times 211+211\times 211}$$

Multiplique 44521 e 211 para obter 9393931.

$$\frac{491169069+9393931}{789\times 789-789\times 211+211\times 211}$$

Some 491169069 e 9393931 para obter 500563000.

$$\frac{500563000}{789\times 789-789\times 211+211\times 211}$$

Multiplique 789 e 789 para obter 622521.

$$\frac{500563000}{622521-789\times 211+211\times 211}$$

Multiplique 789 e 211 para obter 166479.

$$\frac{500563000}{622521-166479+211\times 211}$$

Subtraia 166479 de 622521 para obter 456042.

$$\frac{500563000}{456042+211\times 211}$$

Multiplique 211 e 211 para obter 44521.

$$\frac{500563000}{456042+44521}$$

Some 456042 e 44521 para obter 500563.

$$\frac{500563000}{500563}$$

Dividir 500563000 por 500563 para obter 1000.

$$1000$$

Fatorizar

$$2^{3}\times 5^{3}$$