Evaluate
3\left(x+2e\right)
Expand
3x+6e
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\frac{1}{2}\times 6x+\frac{1}{2}\times 12e
Use the distributive property to multiply \frac{1}{2} by 6x+12e.
\frac{6}{2}x+\frac{1}{2}\times 12e
Multiply \frac{1}{2} and 6 to get \frac{6}{2}.
3x+\frac{1}{2}\times 12e
Divide 6 by 2 to get 3.
3x+\frac{12}{2}e
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
3x+6e
Divide 12 by 2 to get 6.
\frac{1}{2}\times 6x+\frac{1}{2}\times 12e
Use the distributive property to multiply \frac{1}{2} by 6x+12e.
\frac{6}{2}x+\frac{1}{2}\times 12e
Multiply \frac{1}{2} and 6 to get \frac{6}{2}.
3x+\frac{1}{2}\times 12e
Divide 6 by 2 to get 3.
3x+\frac{12}{2}e
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
3x+6e
Divide 12 by 2 to get 6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}