Solve (2x^16-3x^8+x^6)/-x^2

$$\frac { ( 2 x ^ { 16 } - 3 x ^ { 8 } + x ^ { 6 } ) } { - x ^ { 2 } }$$

Evaluate

$$x^{4}\left(-2x^{10}+3x^{2}-1\right)$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(x-1\right)\left(x+1\right)x^{6}\left(2x^{8}+2x^{6}+2x^{4}+2x^{2}-1\right)}{-x^{2}}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{\left(x-1\right)\left(x+1\right)x^{4}\left(2x^{8}+2x^{6}+2x^{4}+2x^{2}-1\right)}{-1}$$

Expand the expression.

$$-2x^{14}+3x^{6}-x^{4}$$

Expand

$$-2x^{14}+3x^{6}-x^{4}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(x-1\right)\left(x+1\right)x^{6}\left(2x^{8}+2x^{6}+2x^{4}+2x^{2}-1\right)}{-x^{2}}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{\left(x-1\right)\left(x+1\right)x^{4}\left(2x^{8}+2x^{6}+2x^{4}+2x^{2}-1\right)}{-1}$$

Expand the expression.

$$-2x^{14}+3x^{6}-x^{4}$$