Evaluate
\left(x-12\right)\left(2x-3\right)\left(3x-2\right)\left(6x-1\right)-7
Expand
36x^{4}-516x^{3}+1057x^{2}-594x+65
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\left(12x^{2}-2x-18x+3\right)\left(3x-2\right)\left(x-12\right)-7
Apply the distributive property by multiplying each term of 2x-3 by each term of 6x-1.
\left(12x^{2}-20x+3\right)\left(3x-2\right)\left(x-12\right)-7
Combine -2x and -18x to get -20x.
\left(36x^{3}-24x^{2}-60x^{2}+40x+9x-6\right)\left(x-12\right)-7
Apply the distributive property by multiplying each term of 12x^{2}-20x+3 by each term of 3x-2.
\left(36x^{3}-84x^{2}+40x+9x-6\right)\left(x-12\right)-7
Combine -24x^{2} and -60x^{2} to get -84x^{2}.
\left(36x^{3}-84x^{2}+49x-6\right)\left(x-12\right)-7
Combine 40x and 9x to get 49x.
36x^{4}-432x^{3}-84x^{3}+1008x^{2}+49x^{2}-588x-6x+72-7
Apply the distributive property by multiplying each term of 36x^{3}-84x^{2}+49x-6 by each term of x-12.
36x^{4}-516x^{3}+1008x^{2}+49x^{2}-588x-6x+72-7
Combine -432x^{3} and -84x^{3} to get -516x^{3}.
36x^{4}-516x^{3}+1057x^{2}-588x-6x+72-7
Combine 1008x^{2} and 49x^{2} to get 1057x^{2}.
36x^{4}-516x^{3}+1057x^{2}-594x+72-7
Combine -588x and -6x to get -594x.
36x^{4}-516x^{3}+1057x^{2}-594x+65
Subtract 7 from 72 to get 65.
\left(12x^{2}-2x-18x+3\right)\left(3x-2\right)\left(x-12\right)-7
Apply the distributive property by multiplying each term of 2x-3 by each term of 6x-1.
\left(12x^{2}-20x+3\right)\left(3x-2\right)\left(x-12\right)-7
Combine -2x and -18x to get -20x.
\left(36x^{3}-24x^{2}-60x^{2}+40x+9x-6\right)\left(x-12\right)-7
Apply the distributive property by multiplying each term of 12x^{2}-20x+3 by each term of 3x-2.
\left(36x^{3}-84x^{2}+40x+9x-6\right)\left(x-12\right)-7
Combine -24x^{2} and -60x^{2} to get -84x^{2}.
\left(36x^{3}-84x^{2}+49x-6\right)\left(x-12\right)-7
Combine 40x and 9x to get 49x.
36x^{4}-432x^{3}-84x^{3}+1008x^{2}+49x^{2}-588x-6x+72-7
Apply the distributive property by multiplying each term of 36x^{3}-84x^{2}+49x-6 by each term of x-12.
36x^{4}-516x^{3}+1008x^{2}+49x^{2}-588x-6x+72-7
Combine -432x^{3} and -84x^{3} to get -516x^{3}.
36x^{4}-516x^{3}+1057x^{2}-588x-6x+72-7
Combine 1008x^{2} and 49x^{2} to get 1057x^{2}.
36x^{4}-516x^{3}+1057x^{2}-594x+72-7
Combine -588x and -6x to get -594x.
36x^{4}-516x^{3}+1057x^{2}-594x+65
Subtract 7 from 72 to get 65.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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]
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}