Evaluate
-\frac{7x^{2}}{3}-\frac{7}{3x}
Expand
-\frac{7\left(x^{3}+1\right)}{3x}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { 7 x - 28 } { x } \div \frac { 12 - 3 x } { x ^ { 3 } + 1 }
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\frac{\left(7x-28\right)\left(x^{3}+1\right)}{x\left(12-3x\right)}
Divide \frac{7x-28}{x} by \frac{12-3x}{x^{3}+1} by multiplying \frac{7x-28}{x} by the reciprocal of \frac{12-3x}{x^{3}+1}.
\frac{7\left(x-4\right)\left(x+1\right)\left(x^{2}-x+1\right)}{3x\left(-x+4\right)}
Factor the expressions that are not already factored.
\frac{-7\left(x+1\right)\left(-x+4\right)\left(x^{2}-x+1\right)}{3x\left(-x+4\right)}
Extract the negative sign in -4+x.
\frac{-7\left(x+1\right)\left(x^{2}-x+1\right)}{3x}
Cancel out -x+4 in both numerator and denominator.
\frac{-7x^{3}-7}{3x}
Expand the expression.
\frac{\left(7x-28\right)\left(x^{3}+1\right)}{x\left(12-3x\right)}
Divide \frac{7x-28}{x} by \frac{12-3x}{x^{3}+1} by multiplying \frac{7x-28}{x} by the reciprocal of \frac{12-3x}{x^{3}+1}.
\frac{7\left(x-4\right)\left(x+1\right)\left(x^{2}-x+1\right)}{3x\left(-x+4\right)}
Factor the expressions that are not already factored.
\frac{-7\left(x+1\right)\left(-x+4\right)\left(x^{2}-x+1\right)}{3x\left(-x+4\right)}
Extract the negative sign in -4+x.
\frac{-7\left(x+1\right)\left(x^{2}-x+1\right)}{3x}
Cancel out -x+4 in both numerator and denominator.
\frac{-7x^{3}-7}{3x}
Expand the expression.
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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}