Solve 2x^2/3+4

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

Evaluate

$$\frac{2\left(x^{2}+6\right)}{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{3}{3}.

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

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

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

Do the multiplications in 2x^{2}+4\times 3.

$$\frac{2x^{2}+12}{3}$$

Factor

$$\frac{2\left(x^{2}+6\right)}{3}$$

Solution Steps

Factor out \frac{2}{3}. Polynomial x^{2}+6 is not factored since it does not have any rational roots.

$$\frac{2\left(x^{2}+6\right)}{3}$$