Solve (3111^3+5(3111^2)-2(3111))div(3111^2-2(3111))

$$( { 3111 }^{ 3 } +5( { 3111 }^{ 2 } )-2(3111)) \div ( { 3111 }^{ 2 } -2(3111))$$

Evaluate

$$\frac{9693874}{3109}\approx 3118.003859762$$

Solution Steps

Calculate 3111 to the power of 3 and get 30109256631.

$$\frac{30109256631+5\times 3111^{2}-2\times 3111}{3111^{2}-2\times 3111}$$

Calculate 3111 to the power of 2 and get 9678321.

$$\frac{30109256631+5\times 9678321-2\times 3111}{3111^{2}-2\times 3111}$$

Multiply 5 and 9678321 to get 48391605.

$$\frac{30109256631+48391605-2\times 3111}{3111^{2}-2\times 3111}$$

Add 30109256631 and 48391605 to get 30157648236.

$$\frac{30157648236-2\times 3111}{3111^{2}-2\times 3111}$$

Multiply 2 and 3111 to get 6222.

$$\frac{30157648236-6222}{3111^{2}-2\times 3111}$$

Subtract 6222 from 30157648236 to get 30157642014.

$$\frac{30157642014}{3111^{2}-2\times 3111}$$

Calculate 3111 to the power of 2 and get 9678321.

$$\frac{30157642014}{9678321-2\times 3111}$$

Multiply 2 and 3111 to get 6222.

$$\frac{30157642014}{9678321-6222}$$

Subtract 6222 from 9678321 to get 9672099.

$$\frac{30157642014}{9672099}$$

Reduce the fraction \frac{30157642014}{9672099} to lowest terms by extracting and canceling out 3111.

$$\frac{9693874}{3109}$$

Factor

$$\frac{2 \cdot 4846937}{3109} = 3118\frac{12}{3109} = 3118.0038597619814$$