Evaluate
\frac{35}{2x^{2}}
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\frac{35}{2x^{2}}
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\frac{\left(5x+35\right)\times 7x}{2x^{3}\left(x+7\right)}
Divide \frac{5x+35}{2x^{3}} by \frac{x+7}{7x} by multiplying \frac{5x+35}{2x^{3}} by the reciprocal of \frac{x+7}{7x}.
\frac{7\left(5x+35\right)}{2\left(x+7\right)x^{2}}
Cancel out x in both numerator and denominator.
\frac{5\times 7\left(x+7\right)}{2\left(x+7\right)x^{2}}
Factor the expressions that are not already factored.
\frac{5\times 7}{2x^{2}}
Cancel out x+7 in both numerator and denominator.
\frac{35}{2x^{2}}
Expand the expression.
\frac{\left(5x+35\right)\times 7x}{2x^{3}\left(x+7\right)}
Divide \frac{5x+35}{2x^{3}} by \frac{x+7}{7x} by multiplying \frac{5x+35}{2x^{3}} by the reciprocal of \frac{x+7}{7x}.
\frac{7\left(5x+35\right)}{2\left(x+7\right)x^{2}}
Cancel out x in both numerator and denominator.
\frac{5\times 7\left(x+7\right)}{2\left(x+7\right)x^{2}}
Factor the expressions that are not already factored.
\frac{5\times 7}{2x^{2}}
Cancel out x+7 in both numerator and denominator.
\frac{35}{2x^{2}}
Expand the expression.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}