Evaluate
2\left(x^{5}+2x^{3}-3\right)
Expand
2x^{5}+4x^{3}-6
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2x^{2}+x^{3}-3-\left(-2x^{5}-3x^{3}+2x^{2}\right)-3
Use the distributive property to multiply -2x^{3}-3x+2 by x^{2}.
2x^{2}+x^{3}-3+2x^{5}+3x^{3}-2x^{2}-3
To find the opposite of -2x^{5}-3x^{3}+2x^{2}, find the opposite of each term.
2x^{2}+4x^{3}-3+2x^{5}-2x^{2}-3
Combine x^{3} and 3x^{3} to get 4x^{3}.
4x^{3}-3+2x^{5}-3
Combine 2x^{2} and -2x^{2} to get 0.
4x^{3}-6+2x^{5}
Subtract 3 from -3 to get -6.
2x^{2}+x^{3}-3-\left(-2x^{5}-3x^{3}+2x^{2}\right)-3
Use the distributive property to multiply -2x^{3}-3x+2 by x^{2}.
2x^{2}+x^{3}-3+2x^{5}+3x^{3}-2x^{2}-3
To find the opposite of -2x^{5}-3x^{3}+2x^{2}, find the opposite of each term.
2x^{2}+4x^{3}-3+2x^{5}-2x^{2}-3
Combine x^{3} and 3x^{3} to get 4x^{3}.
4x^{3}-3+2x^{5}-3
Combine 2x^{2} and -2x^{2} to get 0.
4x^{3}-6+2x^{5}
Subtract 3 from -3 to get -6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}