Solve frac{(3+3+2*xsqrt{3})x}{2}

$$\frac { ( 3 + 3 + 2 \cdot x \sqrt { 3 } ) x } { 2 }$$

Evaluate

$$\sqrt{3}x\left(x+\sqrt{3}\right)$$

Solution Steps

Add 3 and 3 to get 6.

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

Use the distributive property to multiply 6+2x\sqrt{3} by x.

$$\frac{6x+2\sqrt{3}x^{2}}{2}$$

Divide each term of 6x+2\sqrt{3}x^{2} by 2 to get 3x+\sqrt{3}x^{2}.

$$3x+\sqrt{3}x^{2}$$

Factor

$$\sqrt{3}x\left(x+\sqrt{3}\right)$$

Solution Steps

Consider 3+3+2x\sqrt{3}. Factor out \sqrt{3}.

$$\sqrt{3}\left(\sqrt{3}+\sqrt{3}+2x\right)$$

Rewrite the complete factored expression.

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