Solve 2x^4-32/6x^2+24x+24

$$\frac { 2 x ^ { 4 } - 32 } { 6 x ^ { 2 } + 24 x + 24 }$$

Evaluate

$$\frac{\left(x-2\right)\left(x^{2}+4\right)}{3\left(x+2\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}{6\left(x+2\right)^{2}}$$

Cancel out 2\left(x+2\right) in both numerator and denominator.

$$\frac{\left(x-2\right)\left(x^{2}+4\right)}{3\left(x+2\right)}$$

Expand the expression.

$$\frac{x^{3}-2x^{2}+4x-8}{3x+6}$$

Expand

$$\frac{x^{3}-2x^{2}+4x-8}{3\left(x+2\right)}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(x-2\right)\left(x+2\right)\left(x^{2}+4\right)}{6\left(x+2\right)^{2}}$$

Cancel out 2\left(x+2\right) in both numerator and denominator.

$$\frac{\left(x-2\right)\left(x^{2}+4\right)}{3\left(x+2\right)}$$

Expand the expression.

$$\frac{x^{3}-2x^{2}+4x-8}{3x+6}$$