Evaluate
\left(v-1\right)\left(9v+5\right)
Expand
9v^{2}-4v-5
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4v^{2}-v+2+5v^{2}-3v-7
To find the opposite of -5v^{2}+3v+7, find the opposite of each term.
9v^{2}-v+2-3v-7
Combine 4v^{2} and 5v^{2} to get 9v^{2}.
9v^{2}-4v+2-7
Combine -v and -3v to get -4v.
9v^{2}-4v-5
Subtract 7 from 2 to get -5.
4v^{2}-v+2+5v^{2}-3v-7
To find the opposite of -5v^{2}+3v+7, find the opposite of each term.
9v^{2}-v+2-3v-7
Combine 4v^{2} and 5v^{2} to get 9v^{2}.
9v^{2}-4v+2-7
Combine -v and -3v to get -4v.
9v^{2}-4v-5
Subtract 7 from 2 to get -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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}