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2x^{2}+6x+x+3-4x\left(\frac{1}{2}x+2\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of x+3.
2x^{2}+7x+3-4x\left(\frac{1}{2}x+2\right)
Combine 6x and x to get 7x.
2x^{2}+7x+3-4x\times \frac{1}{2}x-8x
Use the distributive property to multiply -4x by \frac{1}{2}x+2.
2x^{2}+7x+3-4x^{2}\times \frac{1}{2}-8x
Multiply x and x to get x^{2}.
2x^{2}+7x+3+\frac{-4}{2}x^{2}-8x
Multiply -4 and \frac{1}{2} to get \frac{-4}{2}.
2x^{2}+7x+3-2x^{2}-8x
Divide -4 by 2 to get -2.
7x+3-8x
Combine 2x^{2} and -2x^{2} to get 0.
-x+3
Combine 7x and -8x to get -x.
2x^{2}+6x+x+3-4x\left(\frac{1}{2}x+2\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of x+3.
2x^{2}+7x+3-4x\left(\frac{1}{2}x+2\right)
Combine 6x and x to get 7x.
2x^{2}+7x+3-4x\times \frac{1}{2}x-8x
Use the distributive property to multiply -4x by \frac{1}{2}x+2.
2x^{2}+7x+3-4x^{2}\times \frac{1}{2}-8x
Multiply x and x to get x^{2}.
2x^{2}+7x+3+\frac{-4}{2}x^{2}-8x
Multiply -4 and \frac{1}{2} to get \frac{-4}{2}.
2x^{2}+7x+3-2x^{2}-8x
Divide -4 by 2 to get -2.
7x+3-8x
Combine 2x^{2} and -2x^{2} to get 0.
-x+3
Combine 7x and -8x to get -x.
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}