Evaluate
6\left(x-4\right)\left(x+2\right)
Expand
6x^{2}-12x-48
Graph
Share
Copied to clipboard
7x^{2}-20x-32-\left(x^{2}-8x+16\right)
Use the distributive property to multiply x-4 by 7x+8 and combine like terms.
7x^{2}-20x-32-x^{2}+8x-16
To find the opposite of x^{2}-8x+16, find the opposite of each term.
6x^{2}-20x-32+8x-16
Combine 7x^{2} and -x^{2} to get 6x^{2}.
6x^{2}-12x-32-16
Combine -20x and 8x to get -12x.
6x^{2}-12x-48
Subtract 16 from -32 to get -48.
7x^{2}-20x-32-\left(x^{2}-8x+16\right)
Use the distributive property to multiply x-4 by 7x+8 and combine like terms.
7x^{2}-20x-32-x^{2}+8x-16
To find the opposite of x^{2}-8x+16, find the opposite of each term.
6x^{2}-20x-32+8x-16
Combine 7x^{2} and -x^{2} to get 6x^{2}.
6x^{2}-12x-32-16
Combine -20x and 8x to get -12x.
6x^{2}-12x-48
Subtract 16 from -32 to get -48.
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}