Evaluate
-2\left(\sqrt{3}+2\right)\approx -7.464101615
Expand
-2\sqrt{3}-4
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-1-2\sqrt{3}-\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(i+i\sqrt{3}\right)^{2}.
-1-2\sqrt{3}-3
The square of \sqrt{3} is 3.
-4-2\sqrt{3}
Subtract 3 from -1 to get -4.
-1-2\sqrt{3}-\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(i+i\sqrt{3}\right)^{2}.
-1-2\sqrt{3}-3
The square of \sqrt{3} is 3.
-4-2\sqrt{3}
Subtract 3 from -1 to get -4.
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y = 3x + 4
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Matrix
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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
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