Evaluate
4x\left(10-x\right)\left(15-x\right)
Expand
4x^{3}-100x^{2}+600x
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\left(600-60x-40x+4x^{2}\right)x
Apply the distributive property by multiplying each term of 30-2x by each term of 20-2x.
\left(600-100x+4x^{2}\right)x
Combine -60x and -40x to get -100x.
600x-100x^{2}+4x^{3}
Use the distributive property to multiply 600-100x+4x^{2} by x.
\left(600-60x-40x+4x^{2}\right)x
Apply the distributive property by multiplying each term of 30-2x by each term of 20-2x.
\left(600-100x+4x^{2}\right)x
Combine -60x and -40x to get -100x.
600x-100x^{2}+4x^{3}
Use the distributive property to multiply 600-100x+4x^{2} 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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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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