Solve 1/7y^5+2y+1/7y^5+2y

$$\frac { 1 } { 7 } y ^ { 5 } + 2 y + \frac { 1 } { 7 } y ^ { 5 } + 2 y$$

Evaluate

$$\frac{2y^{5}}{7}+4y$$

Solution Steps

Combine \frac{1}{7}y^{5} and \frac{1}{7}y^{5} to get \frac{2}{7}y^{5}.

$$\frac{2}{7}y^{5}+2y+2y$$

Combine 2y and 2y to get 4y.

$$\frac{2}{7}y^{5}+4y$$

Factor

$$\frac{2y\left(y^{4}+14\right)}{7}$$

Solution Steps

Factor out \frac{1}{7}.

$$\frac{y^{5}+14y+y^{5}+14y}{7}$$

Consider y^{5}+14y+y^{5}+14y. Factor out y.

$$y\left(2y^{4}+28\right)$$

Consider y^{4}+14+y^{4}+14. Multiply and combine like terms.

$$2y^{4}+28$$

Consider 2y^{4}+28. Factor out 2.

$$2\left(y^{4}+14\right)$$

Rewrite the complete factored expression.

$$\frac{2y\left(y^{4}+14\right)}{7}$$