Evaluate
4\left(-v^{2}+v-1\right)
Expand
-4v^{2}+4v-4
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v^{2}+2-5v^{2}+4v-6
To find the opposite of 5v^{2}-4v+6, find the opposite of each term.
-4v^{2}+2+4v-6
Combine v^{2} and -5v^{2} to get -4v^{2}.
-4v^{2}-4+4v
Subtract 6 from 2 to get -4.
v^{2}+2-5v^{2}+4v-6
To find the opposite of 5v^{2}-4v+6, find the opposite of each term.
-4v^{2}+2+4v-6
Combine v^{2} and -5v^{2} to get -4v^{2}.
-4v^{2}-4+4v
Subtract 6 from 2 to get -4.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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.
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\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}