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

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

Evaluate

$$1000$$

Solution Steps

Multiply 789 and 789 to get 622521. Multiply 211 and 211 to get 44521.

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

Multiply 622521 and 789 to get 491169069.

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

Multiply 44521 and 211 to get 9393931.

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

Add 491169069 and 9393931 to get 500563000.

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

Multiply 789 and 789 to get 622521.

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

Multiply 789 and 211 to get 166479.

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

Subtract 166479 from 622521 to get 456042.

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

Multiply 211 and 211 to get 44521.

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

Add 456042 and 44521 to get 500563.

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

Divide 500563000 by 500563 to get 1000.

$$1000$$

Factor

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