Solve 5/a^2+11+6a^2

$$\frac { 5 } { a ^ { 2 } } + 11 + 6 a ^ { 2 }$$

Evaluate

$$6a^{2}+11+\frac{5}{a^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 11+6a^{2} times \frac{a^{2}}{a^{2}}.

$$\frac{5}{a^{2}}+\frac{\left(11+6a^{2}\right)a^{2}}{a^{2}}$$

Since \frac{5}{a^{2}} and \frac{\left(11+6a^{2}\right)a^{2}}{a^{2}} have the same denominator, add them by adding their numerators.

$$\frac{5+\left(11+6a^{2}\right)a^{2}}{a^{2}}$$

Do the multiplications in 5+\left(11+6a^{2}\right)a^{2}.

$$\frac{5+11a^{2}+6a^{4}}{a^{2}}$$

Factor

$$\frac{\left(6a^{2}+5\right)\left(a^{2}+1\right)}{a^{2}}$$