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14-4x-x^{2}
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14-4x-x^{2}
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5x+10-\left(x-1\right)\left(x+4\right)-6x
Use the distributive property to multiply 5 by x+2.
5x+10-\left(x^{2}+4x-x-4\right)-6x
Apply the distributive property by multiplying each term of x-1 by each term of x+4.
5x+10-\left(x^{2}+3x-4\right)-6x
Combine 4x and -x to get 3x.
5x+10-x^{2}-3x-\left(-4\right)-6x
To find the opposite of x^{2}+3x-4, find the opposite of each term.
5x+10-x^{2}-3x+4-6x
The opposite of -4 is 4.
2x+10-x^{2}+4-6x
Combine 5x and -3x to get 2x.
2x+14-x^{2}-6x
Add 10 and 4 to get 14.
-4x+14-x^{2}
Combine 2x and -6x to get -4x.
5x+10-\left(x-1\right)\left(x+4\right)-6x
Use the distributive property to multiply 5 by x+2.
5x+10-\left(x^{2}+4x-x-4\right)-6x
Apply the distributive property by multiplying each term of x-1 by each term of x+4.
5x+10-\left(x^{2}+3x-4\right)-6x
Combine 4x and -x to get 3x.
5x+10-x^{2}-3x-\left(-4\right)-6x
To find the opposite of x^{2}+3x-4, find the opposite of each term.
5x+10-x^{2}-3x+4-6x
The opposite of -4 is 4.
2x+10-x^{2}+4-6x
Combine 5x and -3x to get 2x.
2x+14-x^{2}-6x
Add 10 and 4 to get 14.
-4x+14-x^{2}
Combine 2x and -6x to get -4x.
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}