Solve (3.111^3+5(3.111^2)-2(3.111))div(3.111^2-2(3.111))

$$( { 3.111 }^{ 3 } +5( { 3.111 }^{ 2 } )-2(3.111)) \div ( { 3.111 }^{ 2 } -2(3.111))$$

Evaluate

$$\frac{23233321}{1111000}\approx 20.912080108$$

Solution Steps

Calculate 3.111 to the power of 3 and get 30.109256631.

$$\frac{30.109256631+5\times 3.111^{2}-2\times 3.111}{3.111^{2}-2\times 3.111}$$

Calculate 3.111 to the power of 2 and get 9.678321.

$$\frac{30.109256631+5\times 9.678321-2\times 3.111}{3.111^{2}-2\times 3.111}$$

Multiply 5 and 9.678321 to get 48.391605.

$$\frac{30.109256631+48.391605-2\times 3.111}{3.111^{2}-2\times 3.111}$$

Add 30.109256631 and 48.391605 to get 78.500861631.

$$\frac{78.500861631-2\times 3.111}{3.111^{2}-2\times 3.111}$$

Multiply 2 and 3.111 to get 6.222.

$$\frac{78.500861631-6.222}{3.111^{2}-2\times 3.111}$$

Subtract 6.222 from 78.500861631 to get 72.278861631.

$$\frac{72.278861631}{3.111^{2}-2\times 3.111}$$

Calculate 3.111 to the power of 2 and get 9.678321.

$$\frac{72.278861631}{9.678321-2\times 3.111}$$

Multiply 2 and 3.111 to get 6.222.

$$\frac{72.278861631}{9.678321-6.222}$$

Subtract 6.222 from 9.678321 to get 3.456321.

$$\frac{72.278861631}{3.456321}$$

Expand \frac{72.278861631}{3.456321} by multiplying both numerator and the denominator by 1000000000.

$$\frac{72278861631}{3456321000}$$

Reduce the fraction \frac{72278861631}{3456321000} to lowest terms by extracting and canceling out 3111.

$$\frac{23233321}{1111000}$$

Factor

$$\frac{29 \cdot 563 \cdot 1423}{11 \cdot 101 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 20\frac{1013321}{1111000} = 20.9120801080108$$