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5x-12
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4x^{2}-8x+3x-6-2\left(x-1\right)\left(2x-3\right)
Apply the distributive property by multiplying each term of 4x+3 by each term of x-2.
4x^{2}-5x-6-2\left(x-1\right)\left(2x-3\right)
Combine -8x and 3x to get -5x.
4x^{2}-5x-6+\left(-2x+2\right)\left(2x-3\right)
Use the distributive property to multiply -2 by x-1.
4x^{2}-5x-6-4x^{2}+6x+4x-6
Apply the distributive property by multiplying each term of -2x+2 by each term of 2x-3.
4x^{2}-5x-6-4x^{2}+10x-6
Combine 6x and 4x to get 10x.
-5x-6+10x-6
Combine 4x^{2} and -4x^{2} to get 0.
5x-6-6
Combine -5x and 10x to get 5x.
5x-12
Subtract 6 from -6 to get -12.
4x^{2}-8x+3x-6-2\left(x-1\right)\left(2x-3\right)
Apply the distributive property by multiplying each term of 4x+3 by each term of x-2.
4x^{2}-5x-6-2\left(x-1\right)\left(2x-3\right)
Combine -8x and 3x to get -5x.
4x^{2}-5x-6+\left(-2x+2\right)\left(2x-3\right)
Use the distributive property to multiply -2 by x-1.
4x^{2}-5x-6-4x^{2}+6x+4x-6
Apply the distributive property by multiplying each term of -2x+2 by each term of 2x-3.
4x^{2}-5x-6-4x^{2}+10x-6
Combine 6x and 4x to get 10x.
-5x-6+10x-6
Combine 4x^{2} and -4x^{2} to get 0.
5x-6-6
Combine -5x and 10x to get 5x.
5x-12
Subtract 6 from -6 to get -12.
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}