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60-12x
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3-3\left(-2x+2\right)\left(2x-2\right)-3\left(2x+3\right)\left(2x-5\right)
Multiply -1 and 3 to get -3.
3+\left(6x-6\right)\left(2x-2\right)-3\left(2x+3\right)\left(2x-5\right)
Use the distributive property to multiply -3 by -2x+2.
3+12x^{2}-12x-12x+12-3\left(2x+3\right)\left(2x-5\right)
Apply the distributive property by multiplying each term of 6x-6 by each term of 2x-2.
3+12x^{2}-24x+12-3\left(2x+3\right)\left(2x-5\right)
Combine -12x and -12x to get -24x.
15+12x^{2}-24x-3\left(2x+3\right)\left(2x-5\right)
Add 3 and 12 to get 15.
15+12x^{2}-24x+\left(-6x-9\right)\left(2x-5\right)
Use the distributive property to multiply -3 by 2x+3.
15+12x^{2}-24x-12x^{2}+30x-18x+45
Apply the distributive property by multiplying each term of -6x-9 by each term of 2x-5.
15+12x^{2}-24x-12x^{2}+12x+45
Combine 30x and -18x to get 12x.
15-24x+12x+45
Combine 12x^{2} and -12x^{2} to get 0.
15-12x+45
Combine -24x and 12x to get -12x.
60-12x
Add 15 and 45 to get 60.
3-3\left(-2x+2\right)\left(2x-2\right)-3\left(2x+3\right)\left(2x-5\right)
Multiply -1 and 3 to get -3.
3+\left(6x-6\right)\left(2x-2\right)-3\left(2x+3\right)\left(2x-5\right)
Use the distributive property to multiply -3 by -2x+2.
3+12x^{2}-12x-12x+12-3\left(2x+3\right)\left(2x-5\right)
Apply the distributive property by multiplying each term of 6x-6 by each term of 2x-2.
3+12x^{2}-24x+12-3\left(2x+3\right)\left(2x-5\right)
Combine -12x and -12x to get -24x.
15+12x^{2}-24x-3\left(2x+3\right)\left(2x-5\right)
Add 3 and 12 to get 15.
15+12x^{2}-24x+\left(-6x-9\right)\left(2x-5\right)
Use the distributive property to multiply -3 by 2x+3.
15+12x^{2}-24x-12x^{2}+30x-18x+45
Apply the distributive property by multiplying each term of -6x-9 by each term of 2x-5.
15+12x^{2}-24x-12x^{2}+12x+45
Combine 30x and -18x to get 12x.
15-24x+12x+45
Combine 12x^{2} and -12x^{2} to get 0.
15-12x+45
Combine -24x and 12x to get -12x.
60-12x
Add 15 and 45 to get 60.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}