Evaluate
2x\left(13-7x\right)
Expand
26x-14x^{2}
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2x+2x^{2}+4x\left(6-2\right)+8x\left(-2x+1\right)
Use the distributive property to multiply 2x by 1+x.
2x+2x^{2}+4x\times 4+8x\left(-2x+1\right)
Subtract 2 from 6 to get 4.
2x+2x^{2}+16x+8x\left(-2x+1\right)
Multiply 4 and 4 to get 16.
18x+2x^{2}+8x\left(-2x+1\right)
Combine 2x and 16x to get 18x.
18x+2x^{2}-16x^{2}+8x
Use the distributive property to multiply 8x by -2x+1.
18x-14x^{2}+8x
Combine 2x^{2} and -16x^{2} to get -14x^{2}.
26x-14x^{2}
Combine 18x and 8x to get 26x.
2x+2x^{2}+4x\left(6-2\right)+8x\left(-2x+1\right)
Use the distributive property to multiply 2x by 1+x.
2x+2x^{2}+4x\times 4+8x\left(-2x+1\right)
Subtract 2 from 6 to get 4.
2x+2x^{2}+16x+8x\left(-2x+1\right)
Multiply 4 and 4 to get 16.
18x+2x^{2}+8x\left(-2x+1\right)
Combine 2x and 16x to get 18x.
18x+2x^{2}-16x^{2}+8x
Use the distributive property to multiply 8x by -2x+1.
18x-14x^{2}+8x
Combine 2x^{2} and -16x^{2} to get -14x^{2}.
26x-14x^{2}
Combine 18x and 8x to get 26x.
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}