(-x+3)(3x-1)+(x+5(2x-2)
Evaluate
-3x^{2}+21x-13
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-3x^{2}+21x-13
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3\left(-x\right)x-\left(-x\right)+9x-3+x+5\left(2x-2\right)
Apply the distributive property by multiplying each term of -x+3 by each term of 3x-1.
3\left(-x\right)x+x+9x-3+x+5\left(2x-2\right)
Multiply -1 and -1 to get 1.
3\left(-x\right)x+10x-3+x+5\left(2x-2\right)
Combine x and 9x to get 10x.
3\left(-x\right)x+11x-3+5\left(2x-2\right)
Combine 10x and x to get 11x.
3\left(-x\right)x+11x-3+10x-10
Use the distributive property to multiply 5 by 2x-2.
3\left(-x\right)x+21x-3-10
Combine 11x and 10x to get 21x.
3\left(-x\right)x+21x-13
Subtract 10 from -3 to get -13.
-3xx+21x-13
Multiply 3 and -1 to get -3.
-3x^{2}+21x-13
Multiply x and x to get x^{2}.
3\left(-x\right)x-\left(-x\right)+9x-3+x+5\left(2x-2\right)
Apply the distributive property by multiplying each term of -x+3 by each term of 3x-1.
3\left(-x\right)x+x+9x-3+x+5\left(2x-2\right)
Multiply -1 and -1 to get 1.
3\left(-x\right)x+10x-3+x+5\left(2x-2\right)
Combine x and 9x to get 10x.
3\left(-x\right)x+11x-3+5\left(2x-2\right)
Combine 10x and x to get 11x.
3\left(-x\right)x+11x-3+10x-10
Use the distributive property to multiply 5 by 2x-2.
3\left(-x\right)x+21x-3-10
Combine 11x and 10x to get 21x.
3\left(-x\right)x+21x-13
Subtract 10 from -3 to get -13.
-3xx+21x-13
Multiply 3 and -1 to get -3.
-3x^{2}+21x-13
Multiply x and x to get x^{2}.
Examples
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{ 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}