Solve x^3-3x^2/x+8*x^2-64/x^2-11x+24

$$\frac { x ^ { 3 } - 3 x ^ { 2 } } { x + 8 } \cdot \frac { x ^ { 2 } - 64 } { x ^ { 2 } - 11 x + 24 }$$

Evaluate

$$x^{2}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}-64}{x^{2}-11x+24}.

$$\frac{x^{3}-3x^{2}}{x+8}\times \frac{\left(x-8\right)\left(x+8\right)}{\left(x-8\right)\left(x-3\right)}$$

Cancel out x-8 in both numerator and denominator.

$$\frac{x^{3}-3x^{2}}{x+8}\times \frac{x+8}{x-3}$$

Multiply \frac{x^{3}-3x^{2}}{x+8} times \frac{x+8}{x-3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x^{3}-3x^{2}\right)\left(x+8\right)}{\left(x+8\right)\left(x-3\right)}$$

Cancel out x+8 in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out x-3 in both numerator and denominator.

$$x^{2}$$

Expand

$$x^{2}$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{x^{2}-64}{x^{2}-11x+24}.

$$\frac{x^{3}-3x^{2}}{x+8}\times \frac{\left(x-8\right)\left(x+8\right)}{\left(x-8\right)\left(x-3\right)}$$

Cancel out x-8 in both numerator and denominator.

$$\frac{x^{3}-3x^{2}}{x+8}\times \frac{x+8}{x-3}$$

Multiply \frac{x^{3}-3x^{2}}{x+8} times \frac{x+8}{x-3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(x^{3}-3x^{2}\right)\left(x+8\right)}{\left(x+8\right)\left(x-3\right)}$$

Cancel out x+8 in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out x-3 in both numerator and denominator.

$$x^{2}$$