Evaluate
2x\left(3x+4\right)
Expand
6x^{2}+8x
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\frac{1}{2}\left(4x+12x+12x^{2}\right)
Use the distributive property to multiply 6x by 2+2x.
\frac{1}{2}\left(16x+12x^{2}\right)
Combine 4x and 12x to get 16x.
\frac{1}{2}\times 16x+\frac{1}{2}\times 12x^{2}
Use the distributive property to multiply \frac{1}{2} by 16x+12x^{2}.
\frac{16}{2}x+\frac{1}{2}\times 12x^{2}
Multiply \frac{1}{2} and 16 to get \frac{16}{2}.
8x+\frac{1}{2}\times 12x^{2}
Divide 16 by 2 to get 8.
8x+\frac{12}{2}x^{2}
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
8x+6x^{2}
Divide 12 by 2 to get 6.
\frac{1}{2}\left(4x+12x+12x^{2}\right)
Use the distributive property to multiply 6x by 2+2x.
\frac{1}{2}\left(16x+12x^{2}\right)
Combine 4x and 12x to get 16x.
\frac{1}{2}\times 16x+\frac{1}{2}\times 12x^{2}
Use the distributive property to multiply \frac{1}{2} by 16x+12x^{2}.
\frac{16}{2}x+\frac{1}{2}\times 12x^{2}
Multiply \frac{1}{2} and 16 to get \frac{16}{2}.
8x+\frac{1}{2}\times 12x^{2}
Divide 16 by 2 to get 8.
8x+\frac{12}{2}x^{2}
Multiply \frac{1}{2} and 12 to get \frac{12}{2}.
8x+6x^{2}
Divide 12 by 2 to get 6.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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]
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}