Expand
6x^{3}+12x^{2}-24x-48
Evaluate
-6\left(2-x\right)\left(x+2\right)^{2}
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-6\left(2-x\right)\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
\left(-12+6x\right)\left(x^{2}+4x+4\right)
Use the distributive property to multiply -6 by 2-x.
12x^{2}-24x-48+6x^{3}
Use the distributive property to multiply -12+6x by x^{2}+4x+4 and combine like terms.
-6\left(2-x\right)\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
\left(-12+6x\right)\left(x^{2}+4x+4\right)
Use the distributive property to multiply -6 by 2-x.
12x^{2}-24x-48+6x^{3}
Use the distributive property to multiply -12+6x by x^{2}+4x+4 and combine like terms.
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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Matrix
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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
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