Solve 4-frac{2sqrt{3}}{3}x^2

$$4 - \frac { 2 \sqrt { 3 } } { 3 } x ^ { 2 }$$

Evaluate

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

Short Solution Steps

Express \frac{2\sqrt{3}}{3}x^{2} as a single fraction.

$$4-\frac{2\sqrt{3}x^{2}}{3}$$

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

$$\frac{4\times 3}{3}-\frac{2\sqrt{3}x^{2}}{3}$$

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

$$\frac{4\times 3-2\sqrt{3}x^{2}}{3}$$

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

$$\frac{12-2\sqrt{3}x^{2}}{3}$$

Factor

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

Solution Steps

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

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