Evaluate
\left(3x-8\right)\left(x+1\right)
Expand
3x^{2}-5x-8
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\left(\frac{1}{2}\times 2x+\frac{1}{2}\left(-4\right)\right)\left(3x+1\right)-6
Use the distributive property to multiply \frac{1}{2} by 2x-4.
\left(x+\frac{1}{2}\left(-4\right)\right)\left(3x+1\right)-6
Cancel out 2 and 2.
\left(x+\frac{-4}{2}\right)\left(3x+1\right)-6
Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.
\left(x-2\right)\left(3x+1\right)-6
Divide -4 by 2 to get -2.
3x^{2}+x-6x-2-6
Apply the distributive property by multiplying each term of x-2 by each term of 3x+1.
3x^{2}-5x-2-6
Combine x and -6x to get -5x.
3x^{2}-5x-8
Subtract 6 from -2 to get -8.
\left(\frac{1}{2}\times 2x+\frac{1}{2}\left(-4\right)\right)\left(3x+1\right)-6
Use the distributive property to multiply \frac{1}{2} by 2x-4.
\left(x+\frac{1}{2}\left(-4\right)\right)\left(3x+1\right)-6
Cancel out 2 and 2.
\left(x+\frac{-4}{2}\right)\left(3x+1\right)-6
Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.
\left(x-2\right)\left(3x+1\right)-6
Divide -4 by 2 to get -2.
3x^{2}+x-6x-2-6
Apply the distributive property by multiplying each term of x-2 by each term of 3x+1.
3x^{2}-5x-2-6
Combine x and -6x to get -5x.
3x^{2}-5x-8
Subtract 6 from -2 to get -8.
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}