Evaluate
4x\left(1-x\right)\left(x-3\right)
Expand
-4x^{3}+16x^{2}-12x
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\left(-4x^{2}+4x+12x-12\right)x
Apply the distributive property by multiplying each term of x-3 by each term of -4x+4.
\left(-4x^{2}+16x-12\right)x
Combine 4x and 12x to get 16x.
-4x^{3}+16x^{2}-12x
Use the distributive property to multiply -4x^{2}+16x-12 by x.
\left(-4x^{2}+4x+12x-12\right)x
Apply the distributive property by multiplying each term of x-3 by each term of -4x+4.
\left(-4x^{2}+16x-12\right)x
Combine 4x and 12x to get 16x.
-4x^{3}+16x^{2}-12x
Use the distributive property to multiply -4x^{2}+16x-12 by x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}