Solve 2x^3+3y^2/2

$$2 { x }^{ 3 } +3 \frac{ { y }^{ 2 } }{ 2 }$$

Evaluate

$$2x^{3}+\frac{3y^{2}}{2}$$

Short Solution Steps

Express 3\times \frac{y^{2}}{2} as a single fraction.

$$2x^{3}+\frac{3y^{2}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x^{3} times \frac{2}{2}.

$$\frac{2\times 2x^{3}}{2}+\frac{3y^{2}}{2}$$

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

$$\frac{2\times 2x^{3}+3y^{2}}{2}$$

Do the multiplications in 2\times 2x^{3}+3y^{2}.

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

Factor

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

Solution Steps

Factor out \frac{1}{2}.

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