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16x-18
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16x-18
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-3x^{2}+4x-5+6x-5-\left(-3x^{2}-6x+8\right)
Combine x^{2} and -4x^{2} to get -3x^{2}.
-3x^{2}+10x-5-5-\left(-3x^{2}-6x+8\right)
Combine 4x and 6x to get 10x.
-3x^{2}+10x-10-\left(-3x^{2}-6x+8\right)
Subtract 5 from -5 to get -10.
-3x^{2}+10x-10+3x^{2}+6x-8
To find the opposite of -3x^{2}-6x+8, find the opposite of each term.
10x-10+6x-8
Combine -3x^{2} and 3x^{2} to get 0.
16x-10-8
Combine 10x and 6x to get 16x.
16x-18
Subtract 8 from -10 to get -18.
-3x^{2}+4x-5+6x-5-\left(-3x^{2}-6x+8\right)
Combine x^{2} and -4x^{2} to get -3x^{2}.
-3x^{2}+10x-5-5-\left(-3x^{2}-6x+8\right)
Combine 4x and 6x to get 10x.
-3x^{2}+10x-10-\left(-3x^{2}-6x+8\right)
Subtract 5 from -5 to get -10.
-3x^{2}+10x-10+3x^{2}+6x-8
To find the opposite of -3x^{2}-6x+8, find the opposite of each term.
10x-10+6x-8
Combine -3x^{2} and 3x^{2} to get 0.
16x-10-8
Combine 10x and 6x to get 16x.
16x-18
Subtract 8 from -10 to get -18.
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}