Expand
54+102x+42x^{2}-6x^{3}
Evaluate
-6\left(x-9\right)\left(x+1\right)^{2}
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-6\left(x-9\right)\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
\left(-6x+54\right)\left(x^{2}+2x+1\right)
Use the distributive property to multiply -6 by x-9.
-6x^{3}+42x^{2}+102x+54
Use the distributive property to multiply -6x+54 by x^{2}+2x+1 and combine like terms.
-6\left(x-9\right)\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
\left(-6x+54\right)\left(x^{2}+2x+1\right)
Use the distributive property to multiply -6 by x-9.
-6x^{3}+42x^{2}+102x+54
Use the distributive property to multiply -6x+54 by x^{2}+2x+1 and combine like terms.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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