Evaluate
\frac{3x\left(x^{2}-7\right)}{25}
Expand
\frac{3x^{3}-21x}{25}
Graph
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\frac{x\left(x^{2}-7\right)}{5}\times \frac{3}{5}
Express x\times \frac{x^{2}-7}{5} as a single fraction.
\frac{x^{3}-7x}{5}\times \frac{3}{5}
Use the distributive property to multiply x by x^{2}-7.
\frac{\left(x^{3}-7x\right)\times 3}{5\times 5}
Multiply \frac{x^{3}-7x}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x^{3}-7x\right)\times 3}{25}
Multiply 5 and 5 to get 25.
\frac{3x^{3}-21x}{25}
Use the distributive property to multiply x^{3}-7x by 3.
\frac{x\left(x^{2}-7\right)}{5}\times \frac{3}{5}
Express x\times \frac{x^{2}-7}{5} as a single fraction.
\frac{x^{3}-7x}{5}\times \frac{3}{5}
Use the distributive property to multiply x by x^{2}-7.
\frac{\left(x^{3}-7x\right)\times 3}{5\times 5}
Multiply \frac{x^{3}-7x}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\left(x^{3}-7x\right)\times 3}{25}
Multiply 5 and 5 to get 25.
\frac{3x^{3}-21x}{25}
Use the distributive property to multiply x^{3}-7x by 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}