Evaluate
9-15x+6x^{2}+4x^{3}-2x^{4}
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9-15x+6x^{2}+4x^{3}-2x^{4}
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2x^{3}-3x^{2}+2-2\left(x^{4}-x^{3}+4\right)+3\left(3x^{2}-5x+5\right)
Subtract 2 from 4 to get 2.
2x^{3}-3x^{2}+2-2x^{4}+2x^{3}-8+3\left(3x^{2}-5x+5\right)
Use the distributive property to multiply -2 by x^{4}-x^{3}+4.
4x^{3}-3x^{2}+2-2x^{4}-8+3\left(3x^{2}-5x+5\right)
Combine 2x^{3} and 2x^{3} to get 4x^{3}.
4x^{3}-3x^{2}-6-2x^{4}+3\left(3x^{2}-5x+5\right)
Subtract 8 from 2 to get -6.
4x^{3}-3x^{2}-6-2x^{4}+9x^{2}-15x+15
Use the distributive property to multiply 3 by 3x^{2}-5x+5.
4x^{3}+6x^{2}-6-2x^{4}-15x+15
Combine -3x^{2} and 9x^{2} to get 6x^{2}.
4x^{3}+6x^{2}+9-2x^{4}-15x
Add -6 and 15 to get 9.
2x^{3}-3x^{2}+2-2\left(x^{4}-x^{3}+4\right)+3\left(3x^{2}-5x+5\right)
Subtract 2 from 4 to get 2.
2x^{3}-3x^{2}+2-2x^{4}+2x^{3}-8+3\left(3x^{2}-5x+5\right)
Use the distributive property to multiply -2 by x^{4}-x^{3}+4.
4x^{3}-3x^{2}+2-2x^{4}-8+3\left(3x^{2}-5x+5\right)
Combine 2x^{3} and 2x^{3} to get 4x^{3}.
4x^{3}-3x^{2}-6-2x^{4}+3\left(3x^{2}-5x+5\right)
Subtract 8 from 2 to get -6.
4x^{3}-3x^{2}-6-2x^{4}+9x^{2}-15x+15
Use the distributive property to multiply 3 by 3x^{2}-5x+5.
4x^{3}+6x^{2}-6-2x^{4}-15x+15
Combine -3x^{2} and 9x^{2} to get 6x^{2}.
4x^{3}+6x^{2}+9-2x^{4}-15x
Add -6 and 15 to get 9.
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}