Evaluate
-x^{2}+7x-27
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-x^{2}+7x-27
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\left(-x\right)x-4\left(-x\right)+3x-27
Use the distributive property to multiply -x by x-4.
\left(-x\right)x+4x+3x-27
Multiply -4 and -1 to get 4.
\left(-x\right)x+7x-27
Combine 4x and 3x to get 7x.
-x^{2}+7x-27
Multiply x and x to get x^{2}.
\left(-x\right)x-4\left(-x\right)+3x-27
Use the distributive property to multiply -x by x-4.
\left(-x\right)x+4x+3x-27
Multiply -4 and -1 to get 4.
\left(-x\right)x+7x-27
Combine 4x and 3x to get 7x.
-x^{2}+7x-27
Multiply x and x to get x^{2}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}