Solve 4x^3/5y^4+25y^5/32x^2

$$\frac { 4 x ^ { 3 } } { 5 y ^ { 4 } } + \frac { 25 y ^ { 5 } } { 32 x ^ { 2 } }$$

Evaluate

$$\frac{25y^{5}}{32x^{2}}+\frac{4x^{3}}{5y^{4}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5y^{4} and 32x^{2} is 160x^{2}y^{4}. Multiply \frac{4x^{3}}{5y^{4}} times \frac{32x^{2}}{32x^{2}}. Multiply \frac{25y^{5}}{32x^{2}} times \frac{5y^{4}}{5y^{4}}.

$$\frac{4x^{3}\times 32x^{2}}{160x^{2}y^{4}}+\frac{25y^{5}\times 5y^{4}}{160x^{2}y^{4}}$$

Since \frac{4x^{3}\times 32x^{2}}{160x^{2}y^{4}} and \frac{25y^{5}\times 5y^{4}}{160x^{2}y^{4}} have the same denominator, add them by adding their numerators.

$$\frac{4x^{3}\times 32x^{2}+25y^{5}\times 5y^{4}}{160x^{2}y^{4}}$$

Do the multiplications in 4x^{3}\times 32x^{2}+25y^{5}\times 5y^{4}.

$$\frac{128x^{5}+125y^{9}}{160x^{2}y^{4}}$$

Factor

$$\frac{128x^{5}+125y^{9}}{160x^{2}y^{4}}$$