Solve x(x-1)(x-2)div2!

$$x(x-1)(x-2) \div 2 !$$

Evaluate

$$\frac{x\left(x-2\right)\left(x-1\right)}{2}$$

Solution Steps

The factorial of 2 is 2.

$$\frac{x\left(x-1\right)\left(x-2\right)}{2}$$

Use the distributive property to multiply x by x-1.

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

Apply the distributive property by multiplying each term of x^{2}-x by each term of x-2.

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

Combine -2x^{2} and -x^{2} to get -3x^{2}.

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

Differentiate w.r.t. x

$$\frac{3x^{2}}{2}-3x+1$$