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3x^{2}-5x+6
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3x^{2}-5x+6
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\left(3x-3\right)\left(x+3\right)-11\left(x-1\right)+4
Use the distributive property to multiply 3 by x-1.
3x^{2}+9x-3x-9-11\left(x-1\right)+4
Apply the distributive property by multiplying each term of 3x-3 by each term of x+3.
3x^{2}+6x-9-11\left(x-1\right)+4
Combine 9x and -3x to get 6x.
3x^{2}+6x-9-11x+11+4
Use the distributive property to multiply -11 by x-1.
3x^{2}-5x-9+11+4
Combine 6x and -11x to get -5x.
3x^{2}-5x+2+4
Add -9 and 11 to get 2.
3x^{2}-5x+6
Add 2 and 4 to get 6.
\left(3x-3\right)\left(x+3\right)-11\left(x-1\right)+4
Use the distributive property to multiply 3 by x-1.
3x^{2}+9x-3x-9-11\left(x-1\right)+4
Apply the distributive property by multiplying each term of 3x-3 by each term of x+3.
3x^{2}+6x-9-11\left(x-1\right)+4
Combine 9x and -3x to get 6x.
3x^{2}+6x-9-11x+11+4
Use the distributive property to multiply -11 by x-1.
3x^{2}-5x-9+11+4
Combine 6x and -11x to get -5x.
3x^{2}-5x+2+4
Add -9 and 11 to get 2.
3x^{2}-5x+6
Add 2 and 4 to get 6.
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}