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