Evaluate
2\left(x^{2}+4\right)
Expand
2x^{2}+8
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x^{2}+4x+4+\left(x-2\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4+x^{2}-4x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
2x^{2}+4x+4-4x+4
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+4+4
Combine 4x and -4x to get 0.
2x^{2}+8
Add 4 and 4 to get 8.
x^{2}+4x+4+\left(x-2\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+4x+4+x^{2}-4x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
2x^{2}+4x+4-4x+4
Combine x^{2} and x^{2} to get 2x^{2}.
2x^{2}+4+4
Combine 4x and -4x to get 0.
2x^{2}+8
Add 4 and 4 to get 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}