Expand
6x^{3}-33x^{2}+15x
Evaluate
3x\left(x-5\right)\left(2x-1\right)
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\left(3x^{2}-15x\right)\left(2x-1\right)
Use the distributive property to multiply 3x by x-5.
6x^{3}-3x^{2}-30x^{2}+15x
Apply the distributive property by multiplying each term of 3x^{2}-15x by each term of 2x-1.
6x^{3}-33x^{2}+15x
Combine -3x^{2} and -30x^{2} to get -33x^{2}.
\left(3x^{2}-15x\right)\left(2x-1\right)
Use the distributive property to multiply 3x by x-5.
6x^{3}-3x^{2}-30x^{2}+15x
Apply the distributive property by multiplying each term of 3x^{2}-15x by each term of 2x-1.
6x^{3}-33x^{2}+15x
Combine -3x^{2} and -30x^{2} to get -33x^{2}.
Examples
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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]
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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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