Solve 2x+3/x(x-1)(x-2)

$$\frac { 2 x + 3 } { x ( x - 1 ) ( x - 2 ) }$$

Evaluate

$$\frac{2x+3}{x\left(x-2\right)\left(x-1\right)}$$

Short Solution Steps

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

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

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

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

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

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

Expand

$$\frac{2x+3}{x\left(x-2\right)\left(x-1\right)}$$

Short Solution Steps

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

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

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

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

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

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