Evaluate
3x^{3}-2x^{2}-27x-5t^{3}+76
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3x^{3}-2x^{2}-27x-5t^{3}+76
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3x^{3}-12x^{2}+18x-9+5\left(-t^{3}+2x^{2}-9x+17\right)
Use the distributive property to multiply 3 by x^{3}-4x^{2}+6x-3.
3x^{3}-12x^{2}+18x-9+5\left(-t^{3}\right)+10x^{2}-45x+85
Use the distributive property to multiply 5 by -t^{3}+2x^{2}-9x+17.
3x^{3}-2x^{2}+18x-9+5\left(-t^{3}\right)-45x+85
Combine -12x^{2} and 10x^{2} to get -2x^{2}.
3x^{3}-2x^{2}-27x-9+5\left(-t^{3}\right)+85
Combine 18x and -45x to get -27x.
3x^{3}-2x^{2}-27x+76+5\left(-t^{3}\right)
Add -9 and 85 to get 76.
3x^{3}-2x^{2}-27x+76-5t^{3}
Multiply 5 and -1 to get -5.
3x^{3}-12x^{2}+18x-9+5\left(-t^{3}+2x^{2}-9x+17\right)
Use the distributive property to multiply 3 by x^{3}-4x^{2}+6x-3.
3x^{3}-12x^{2}+18x-9+5\left(-t^{3}\right)+10x^{2}-45x+85
Use the distributive property to multiply 5 by -t^{3}+2x^{2}-9x+17.
3x^{3}-2x^{2}+18x-9+5\left(-t^{3}\right)-45x+85
Combine -12x^{2} and 10x^{2} to get -2x^{2}.
3x^{3}-2x^{2}-27x-9+5\left(-t^{3}\right)+85
Combine 18x and -45x to get -27x.
3x^{3}-2x^{2}-27x+76+5\left(-t^{3}\right)
Add -9 and 85 to get 76.
3x^{3}-2x^{2}-27x+76-5t^{3}
Multiply 5 and -1 to get -5.
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}