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11-8x
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11-8x
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x^{2}-9-\left(2x^{2}+3x-20\right)+x^{2}-5x
Use the distributive property to multiply x+4 by 2x-5 and combine like terms.
x^{2}-9-2x^{2}-3x+20+x^{2}-5x
To find the opposite of 2x^{2}+3x-20, find the opposite of each term.
-x^{2}-9-3x+20+x^{2}-5x
Combine x^{2} and -2x^{2} to get -x^{2}.
-x^{2}+11-3x+x^{2}-5x
Add -9 and 20 to get 11.
11-3x-5x
Combine -x^{2} and x^{2} to get 0.
11-8x
Combine -3x and -5x to get -8x.
x^{2}-9-\left(2x^{2}+3x-20\right)+x^{2}-5x
Use the distributive property to multiply x+4 by 2x-5 and combine like terms.
x^{2}-9-2x^{2}-3x+20+x^{2}-5x
To find the opposite of 2x^{2}+3x-20, find the opposite of each term.
-x^{2}-9-3x+20+x^{2}-5x
Combine x^{2} and -2x^{2} to get -x^{2}.
-x^{2}+11-3x+x^{2}-5x
Add -9 and 20 to get 11.
11-3x-5x
Combine -x^{2} and x^{2} to get 0.
11-8x
Combine -3x and -5x to get -8x.
Examples
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{ 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}