Evaluate
5\left(x^{2}+3\right)x^{3}
Expand
5x^{5}+15x^{3}
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5x^{5}+15x^{3}-5x^{2}+5x^{2}
Use the distributive property to multiply 5x^{2} by x^{3}+3x-1.
5x^{5}+15x^{3}
Combine -5x^{2} and 5x^{2} to get 0.
5x^{5}+15x^{3}-5x^{2}+5x^{2}
Use the distributive property to multiply 5x^{2} by x^{3}+3x-1.
5x^{5}+15x^{3}
Combine -5x^{2} and 5x^{2} to get 0.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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
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