Evaluate
\frac{2\left(x^{2}-6x+7\right)x^{5}}{3}
Expand
\frac{2x^{7}}{3}-4x^{6}+\frac{14x^{5}}{3}
Graph
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\frac{\left(x^{5}-6x^{4}+7x^{3}\right)\times 2}{3}x^{2}
Divide x^{5}-6x^{4}+7x^{3} by \frac{3}{2} by multiplying x^{5}-6x^{4}+7x^{3} by the reciprocal of \frac{3}{2}.
\frac{\left(x^{5}-6x^{4}+7x^{3}\right)\times 2x^{2}}{3}
Express \frac{\left(x^{5}-6x^{4}+7x^{3}\right)\times 2}{3}x^{2} as a single fraction.
\frac{\left(2x^{5}-12x^{4}+14x^{3}\right)x^{2}}{3}
Use the distributive property to multiply x^{5}-6x^{4}+7x^{3} by 2.
\frac{2x^{7}-12x^{6}+14x^{5}}{3}
Use the distributive property to multiply 2x^{5}-12x^{4}+14x^{3} by x^{2}.
\frac{\left(x^{5}-6x^{4}+7x^{3}\right)\times 2}{3}x^{2}
Divide x^{5}-6x^{4}+7x^{3} by \frac{3}{2} by multiplying x^{5}-6x^{4}+7x^{3} by the reciprocal of \frac{3}{2}.
\frac{\left(x^{5}-6x^{4}+7x^{3}\right)\times 2x^{2}}{3}
Express \frac{\left(x^{5}-6x^{4}+7x^{3}\right)\times 2}{3}x^{2} as a single fraction.
\frac{\left(2x^{5}-12x^{4}+14x^{3}\right)x^{2}}{3}
Use the distributive property to multiply x^{5}-6x^{4}+7x^{3} by 2.
\frac{2x^{7}-12x^{6}+14x^{5}}{3}
Use the distributive property to multiply 2x^{5}-12x^{4}+14x^{3} by x^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}