Evaluate
\left(3x-8\right)\left(3x-2\right)\left(x+2\right)
Expand
9x^{3}-12x^{2}-44x+32
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9x^{3}-6x^{2}-36x+24-\left(6x-4\right)\left(x+2\right)
Use the distributive property to multiply x^{2}-4 by 9x-6.
9x^{3}-6x^{2}-36x+24-\left(6x^{2}+8x-8\right)
Use the distributive property to multiply 6x-4 by x+2 and combine like terms.
9x^{3}-6x^{2}-36x+24-6x^{2}-8x+8
To find the opposite of 6x^{2}+8x-8, find the opposite of each term.
9x^{3}-12x^{2}-36x+24-8x+8
Combine -6x^{2} and -6x^{2} to get -12x^{2}.
9x^{3}-12x^{2}-44x+24+8
Combine -36x and -8x to get -44x.
9x^{3}-12x^{2}-44x+32
Add 24 and 8 to get 32.
9x^{3}-6x^{2}-36x+24-\left(6x-4\right)\left(x+2\right)
Use the distributive property to multiply x^{2}-4 by 9x-6.
9x^{3}-6x^{2}-36x+24-\left(6x^{2}+8x-8\right)
Use the distributive property to multiply 6x-4 by x+2 and combine like terms.
9x^{3}-6x^{2}-36x+24-6x^{2}-8x+8
To find the opposite of 6x^{2}+8x-8, find the opposite of each term.
9x^{3}-12x^{2}-36x+24-8x+8
Combine -6x^{2} and -6x^{2} to get -12x^{2}.
9x^{3}-12x^{2}-44x+24+8
Combine -36x and -8x to get -44x.
9x^{3}-12x^{2}-44x+32
Add 24 and 8 to get 32.
Examples
Quadratic equation
{ 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}