Solve 7/10x^6+5/28x^4

$$\frac { 7 } { 10 x ^ { 6 } } + \frac { 5 } { 28 x ^ { 4 } }$$

Evaluate

$$\frac{5}{28x^{4}}+\frac{7}{10x^{6}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10x^{6} and 28x^{4} is 140x^{6}. Multiply \frac{7}{10x^{6}} times \frac{14}{14}. Multiply \frac{5}{28x^{4}} times \frac{5x^{2}}{5x^{2}}.

$$\frac{7\times 14}{140x^{6}}+\frac{5\times 5x^{2}}{140x^{6}}$$

Since \frac{7\times 14}{140x^{6}} and \frac{5\times 5x^{2}}{140x^{6}} have the same denominator, add them by adding their numerators.

$$\frac{7\times 14+5\times 5x^{2}}{140x^{6}}$$

Do the multiplications in 7\times 14+5\times 5x^{2}.

$$\frac{98+25x^{2}}{140x^{6}}$$

Factor

$$\frac{25x^{2}+98}{140x^{2}x^{4}}$$