Evaluate
-\left(5x-11\right)^{3}+12x-8
Expand
1323-1803x+825x^{2}-125x^{3}
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12x-8-\left(5x-11\right)^{3}
Use the distributive property to multiply 4 by 3x-2.
12x-8-\left(125x^{3}-825x^{2}+1815x-1331\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(5x-11\right)^{3}.
12x-8-125x^{3}+825x^{2}-1815x+1331
To find the opposite of 125x^{3}-825x^{2}+1815x-1331, find the opposite of each term.
-1803x-8-125x^{3}+825x^{2}+1331
Combine 12x and -1815x to get -1803x.
-1803x+1323-125x^{3}+825x^{2}
Add -8 and 1331 to get 1323.
12x-8-\left(5x-11\right)^{3}
Use the distributive property to multiply 4 by 3x-2.
12x-8-\left(125x^{3}-825x^{2}+1815x-1331\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(5x-11\right)^{3}.
12x-8-125x^{3}+825x^{2}-1815x+1331
To find the opposite of 125x^{3}-825x^{2}+1815x-1331, find the opposite of each term.
-1803x-8-125x^{3}+825x^{2}+1331
Combine 12x and -1815x to get -1803x.
-1803x+1323-125x^{3}+825x^{2}
Add -8 and 1331 to get 1323.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}