Solve (3.134)^3+(1.866)^3/(3.134)^2-3.134*1.866+(1.866)^2

$$\frac { ( 3.134 ) ^ { 3 } + ( 1.866 ) ^ { 3 } } { ( 3.134 ) ^ { 2 } - 3.134 \times 1.866 + ( 1.866 ) ^ { 2 } }$$

Evaluate

$$5$$

Solution Steps

Calculate 3.134 to the power of 3 and get 30.782010104.

$$\frac{30.782010104+1.866^{3}}{3.134^{2}-3.134\times 1.866+1.866^{2}}$$

Calculate 1.866 to the power of 3 and get 6.497329896.

$$\frac{30.782010104+6.497329896}{3.134^{2}-3.134\times 1.866+1.866^{2}}$$

Add 30.782010104 and 6.497329896 to get 37.27934.

$$\frac{37.27934}{3.134^{2}-3.134\times 1.866+1.866^{2}}$$

Calculate 3.134 to the power of 2 and get 9.821956.

$$\frac{37.27934}{9.821956-3.134\times 1.866+1.866^{2}}$$

Multiply 3.134 and 1.866 to get 5.848044.

$$\frac{37.27934}{9.821956-5.848044+1.866^{2}}$$

Subtract 5.848044 from 9.821956 to get 3.973912.

$$\frac{37.27934}{3.973912+1.866^{2}}$$

Calculate 1.866 to the power of 2 and get 3.481956.

$$\frac{37.27934}{3.973912+3.481956}$$

Add 3.973912 and 3.481956 to get 7.455868.

$$\frac{37.27934}{7.455868}$$

Expand \frac{37.27934}{7.455868} by multiplying both numerator and the denominator by 1000000.

$$\frac{37279340}{7455868}$$

Divide 37279340 by 7455868 to get 5.

$$5$$

Factor

$$5$$