Evaluate
\left(x-4\right)\left(3x-1\right)
Expand
3x^{2}-13x+4
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10x-5x^{2}+4x\left(2x-5\right)-\left(3x-4\right)
Use the distributive property to multiply 5x by 2-x.
10x-5x^{2}+8x^{2}-20x-\left(3x-4\right)
Use the distributive property to multiply 4x by 2x-5.
10x+3x^{2}-20x-\left(3x-4\right)
Combine -5x^{2} and 8x^{2} to get 3x^{2}.
-10x+3x^{2}-\left(3x-4\right)
Combine 10x and -20x to get -10x.
-10x+3x^{2}-3x-\left(-4\right)
To find the opposite of 3x-4, find the opposite of each term.
-10x+3x^{2}-3x+4
The opposite of -4 is 4.
-13x+3x^{2}+4
Combine -10x and -3x to get -13x.
10x-5x^{2}+4x\left(2x-5\right)-\left(3x-4\right)
Use the distributive property to multiply 5x by 2-x.
10x-5x^{2}+8x^{2}-20x-\left(3x-4\right)
Use the distributive property to multiply 4x by 2x-5.
10x+3x^{2}-20x-\left(3x-4\right)
Combine -5x^{2} and 8x^{2} to get 3x^{2}.
-10x+3x^{2}-\left(3x-4\right)
Combine 10x and -20x to get -10x.
-10x+3x^{2}-3x-\left(-4\right)
To find the opposite of 3x-4, find the opposite of each term.
-10x+3x^{2}-3x+4
The opposite of -4 is 4.
-13x+3x^{2}+4
Combine -10x and -3x to get -13x.
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}