Solve s^{3}+q^3+1^3+2^3+1^3/5

$$s ^ { 3 } + q ^ { 3 } + 1 ^ { 3 } + 2 ^ { 3 } + 1 ^ { 3 } / 5$$

Evaluate

$$q^{3}+s^{3}+\frac{46}{5}$$

Solution Steps

Calculate 1 to the power of 3 and get 1.

$$s^{3}+q^{3}+1+2^{3}+\frac{1^{3}}{5}$$

Calculate 2 to the power of 3 and get 8.

$$s^{3}+q^{3}+1+8+\frac{1^{3}}{5}$$

Add 1 and 8 to get 9.

$$s^{3}+q^{3}+9+\frac{1^{3}}{5}$$

Calculate 1 to the power of 3 and get 1.

$$s^{3}+q^{3}+9+\frac{1}{5}$$

Add 9 and \frac{1}{5} to get \frac{46}{5}.

$$s^{3}+q^{3}+\frac{46}{5}$$

Factor

$$\frac{5q^{3}+5s^{3}+46}{5}$$

Solution Steps

Factor out \frac{1}{5}.

$$\frac{5s^{3}+5q^{3}+46}{5}$$