Evaluate
-\frac{6\left(x^{2}-3x-8\right)}{x^{4}+3x^{3}-23x^{2}-75x-50}
Expand
-\frac{6\left(x^{2}-3x-8\right)}{x^{4}+3x^{3}-23x^{2}-75x-50}
Graph
Share
Copied to clipboard
-2\times \frac{-9x+3x^{2}-24}{x^{4}+3x^{3}-23x^{2}-75x-50}
Combine x and -10x to get -9x.
\frac{-2\left(-9x+3x^{2}-24\right)}{1x^{4}+3x^{3}-23x^{2}-75x-50}
Express -2\times \frac{-9x+3x^{2}-24}{x^{4}+3x^{3}-23x^{2}-75x-50} as a single fraction.
\frac{18x-6x^{2}+48}{1x^{4}+3x^{3}-23x^{2}-75x-50}
Use the distributive property to multiply -2 by -9x+3x^{2}-24.
\frac{18x-6x^{2}+48}{x^{4}+3x^{3}-23x^{2}-75x-50}
For any term t, t\times 1=t and 1t=t.
-2\times \frac{-9x+3x^{2}-24}{x^{4}+3x^{3}-23x^{2}-75x-50}
Combine x and -10x to get -9x.
\frac{-2\left(-9x+3x^{2}-24\right)}{1x^{4}+3x^{3}-23x^{2}-75x-50}
Express -2\times \frac{-9x+3x^{2}-24}{x^{4}+3x^{3}-23x^{2}-75x-50} as a single fraction.
\frac{18x-6x^{2}+48}{1x^{4}+3x^{3}-23x^{2}-75x-50}
Use the distributive property to multiply -2 by -9x+3x^{2}-24.
\frac{18x-6x^{2}+48}{x^{4}+3x^{3}-23x^{2}-75x-50}
For any term t, t\times 1=t and 1t=t.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}