3 x ^ { 3 } + 5 x ^ { 2 } - 2 x , 6 x ^ { 2 } + 14 x + 4,9 x ^ { 3 } - x
Evaluate
x\left(\frac{67x^{2}}{10}+5x+13\right)
Factor
\frac{x\left(67x^{2}+50x+130\right)}{10}
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3x^{3}+5x^{2}-2x^{3}\times 0,6+14x+4,9x^{3}-x
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
3x^{3}+5x^{2}-1,2x^{3}+14x+4,9x^{3}-x
Multiply 2 and 0,6 to get 1,2.
1,8x^{3}+5x^{2}+14x+4,9x^{3}-x
Combine 3x^{3} and -1,2x^{3} to get 1,8x^{3}.
6,7x^{3}+5x^{2}+14x-x
Combine 1,8x^{3} and 4,9x^{3} to get 6,7x^{3}.
6,7x^{3}+5x^{2}+13x
Combine 14x and -x to get 13x.
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}