Solve frac{3u^{5}+7x^{4}-11x^{3}+8x^2-32x+5div2+3x+x^2}{3x^2-2x^2-11x+45}

$$\frac { 3 u ^ { 5 } + 7 x ^ { 4 } - 11 x ^ { 3 } + 8 x ^ { 2 } - 32 x + 5 \div 2 + 3 x + x ^ { 2 } } { 3 x ^ { 2 } - 2 x ^ { 2 } - 11 x + 45 }$$

Evaluate

$$\frac{14x^{4}-22x^{3}+18x^{2}-58x+6u^{5}+5}{2\left(x^{2}-11x+45\right)}$$

Short Solution Steps

Combine -32x and 3x to get -29x.

$$\frac{3u^{5}+7x^{4}-11x^{3}+8x^{2}-29x+\frac{5}{2}+x^{2}}{3x^{2}-2x^{2}-11x+45}$$

Combine 8x^{2} and x^{2} to get 9x^{2}.

$$\frac{3u^{5}+7x^{4}-11x^{3}+9x^{2}-29x+\frac{5}{2}}{3x^{2}-2x^{2}-11x+45}$$

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

$$\frac{3u^{5}+7x^{4}-11x^{3}+9x^{2}-29x+\frac{5}{2}}{x^{2}-11x+45}$$

Expand

$$\frac{14x^{4}-22x^{3}+18x^{2}-58x+6u^{5}+5}{2\left(x^{2}-11x+45\right)}$$

Short Solution Steps

Combine -32x and 3x to get -29x.

$$\frac{3u^{5}+7x^{4}-11x^{3}+8x^{2}-29x+\frac{5}{2}+x^{2}}{3x^{2}-2x^{2}-11x+45}$$

Combine 8x^{2} and x^{2} to get 9x^{2}.

$$\frac{3u^{5}+7x^{4}-11x^{3}+9x^{2}-29x+\frac{5}{2}}{3x^{2}-2x^{2}-11x+45}$$

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

$$\frac{3u^{5}+7x^{4}-11x^{3}+9x^{2}-29x+\frac{5}{2}}{x^{2}-11x+45}$$