Evaluate
-\frac{\left(x+5\right)^{2}}{5}-2
Expand
-\frac{x^{2}}{5}-2x-7
Graph
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-\frac{1}{5}\left(x^{2}+10x+25\right)-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
-\frac{1}{5}x^{2}-2x-5-2
Use the distributive property to multiply -\frac{1}{5} by x^{2}+10x+25.
-\frac{1}{5}x^{2}-2x-7
Subtract 2 from -5 to get -7.
-\frac{1}{5}\left(x^{2}+10x+25\right)-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
-\frac{1}{5}x^{2}-2x-5-2
Use the distributive property to multiply -\frac{1}{5} by x^{2}+10x+25.
-\frac{1}{5}x^{2}-2x-7
Subtract 2 from -5 to get -7.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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]
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\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
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