Solve 22a^4/13+12a/11

$$\frac { 22 a ^ { 4 } } { 13 } + \frac { 12 a } { 11 }$$

Factor

$$\frac{2a\left(121a^{3}+78\right)}{143}$$

Solution Steps

Factor out \frac{2}{143}.

$$\frac{2\left(121a^{4}+78a\right)}{143}$$

Consider 121a^{4}+78a. Factor out a.

$$a\left(121a^{3}+78\right)$$

Rewrite the complete factored expression. Polynomial 121a^{3}+78 is not factored since it does not have any rational roots.

$$\frac{2a\left(121a^{3}+78\right)}{143}$$

Evaluate

$$\frac{22a^{4}}{13}+\frac{12a}{11}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 13 and 11 is 143. Multiply \frac{22a^{4}}{13} times \frac{11}{11}. Multiply \frac{12a}{11} times \frac{13}{13}.

$$\frac{11\times 22a^{4}}{143}+\frac{13\times 12a}{143}$$

Since \frac{11\times 22a^{4}}{143} and \frac{13\times 12a}{143} have the same denominator, add them by adding their numerators.

$$\frac{11\times 22a^{4}+13\times 12a}{143}$$

Do the multiplications in 11\times 22a^{4}+13\times 12a.

$$\frac{242a^{4}+156a}{143}$$