Evaluate
10x^{3}+10x^{2}-3x-13
Expand
10x^{3}+10x^{2}-3x-13
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5x^{2}-3x-14-5\left(-2x^{3}-x^{2}-\frac{1}{5}\right)
Use the distributive property to multiply 2 by \frac{5}{2}x^{2}-\frac{3}{2}x-7.
5x^{2}-3x-14+10x^{3}+5x^{2}+1
Use the distributive property to multiply -5 by -2x^{3}-x^{2}-\frac{1}{5}.
10x^{2}-3x-14+10x^{3}+1
Combine 5x^{2} and 5x^{2} to get 10x^{2}.
10x^{2}-3x-13+10x^{3}
Add -14 and 1 to get -13.
5x^{2}-3x-14-5\left(-2x^{3}-x^{2}-\frac{1}{5}\right)
Use the distributive property to multiply 2 by \frac{5}{2}x^{2}-\frac{3}{2}x-7.
5x^{2}-3x-14+10x^{3}+5x^{2}+1
Use the distributive property to multiply -5 by -2x^{3}-x^{2}-\frac{1}{5}.
10x^{2}-3x-14+10x^{3}+1
Combine 5x^{2} and 5x^{2} to get 10x^{2}.
10x^{2}-3x-13+10x^{3}
Add -14 and 1 to get -13.
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}