Evaluate
-\left(x-4\right)\left(x+2\right)
Expand
8+2x-x^{2}
Graph
Share
Copied to clipboard
\left(\frac{\left(-x+8\right)\left(x+6\right)}{x+6}-\frac{40}{x+6}\right)\left(x+6\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply -x+8 times \frac{x+6}{x+6}.
\frac{\left(-x+8\right)\left(x+6\right)-40}{x+6}\left(x+6\right)
Since \frac{\left(-x+8\right)\left(x+6\right)}{x+6} and \frac{40}{x+6} have the same denominator, subtract them by subtracting their numerators.
\frac{-x^{2}-6x+8x+48-40}{x+6}\left(x+6\right)
Do the multiplications in \left(-x+8\right)\left(x+6\right)-40.
\frac{-x^{2}+2x+8}{x+6}\left(x+6\right)
Combine like terms in -x^{2}-6x+8x+48-40.
-x^{2}+2x+8
Cancel out x+6 and x+6.
\left(\frac{\left(-x+8\right)\left(x+6\right)}{x+6}-\frac{40}{x+6}\right)\left(x+6\right)
To add or subtract expressions, expand them to make their denominators the same. Multiply -x+8 times \frac{x+6}{x+6}.
\frac{\left(-x+8\right)\left(x+6\right)-40}{x+6}\left(x+6\right)
Since \frac{\left(-x+8\right)\left(x+6\right)}{x+6} and \frac{40}{x+6} have the same denominator, subtract them by subtracting their numerators.
\frac{-x^{2}-6x+8x+48-40}{x+6}\left(x+6\right)
Do the multiplications in \left(-x+8\right)\left(x+6\right)-40.
\frac{-x^{2}+2x+8}{x+6}\left(x+6\right)
Combine like terms in -x^{2}-6x+8x+48-40.
-x^{2}+2x+8
Cancel out x+6 and x+6.
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}