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\frac{x+2}{x+1}
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\frac{x+2}{x+1}
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\frac{\frac{x^{3}-2x^{2}}{x+3}\left(x^{2}+4x+4\right)}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}\left(x^{2}+4x+3\right)}
Divide \frac{\frac{x^{3}-2x^{2}}{x+3}}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}} by \frac{x^{2}+4x+3}{x^{2}+4x+4} by multiplying \frac{\frac{x^{3}-2x^{2}}{x+3}}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}} by the reciprocal of \frac{x^{2}+4x+3}{x^{2}+4x+4}.
\frac{\frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3}}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}\left(x^{2}+4x+3\right)}
Express \frac{x^{3}-2x^{2}}{x+3}\left(x^{2}+4x+4\right) as a single fraction.
\frac{\frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3}}{\frac{\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}{x^{2}+6x+9}}
Express \frac{x^{4}-4x^{2}}{x^{2}+6x+9}\left(x^{2}+4x+3\right) as a single fraction.
\frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)\left(x^{2}+6x+9\right)}{\left(x+3\right)\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}
Divide \frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3} by \frac{\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}{x^{2}+6x+9} by multiplying \frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3} by the reciprocal of \frac{\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}{x^{2}+6x+9}.
\frac{\left(x-2\right)x^{2}\left(x+2\right)^{2}\left(x+3\right)^{2}}{\left(x-2\right)\left(x+1\right)\left(x+2\right)x^{2}\left(x+3\right)^{2}}
Factor the expressions that are not already factored.
\frac{x+2}{x+1}
Cancel out \left(x-2\right)\left(x+2\right)x^{2}\left(x+3\right)^{2} in both numerator and denominator.
\frac{\frac{x^{3}-2x^{2}}{x+3}\left(x^{2}+4x+4\right)}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}\left(x^{2}+4x+3\right)}
Divide \frac{\frac{x^{3}-2x^{2}}{x+3}}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}} by \frac{x^{2}+4x+3}{x^{2}+4x+4} by multiplying \frac{\frac{x^{3}-2x^{2}}{x+3}}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}} by the reciprocal of \frac{x^{2}+4x+3}{x^{2}+4x+4}.
\frac{\frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3}}{\frac{x^{4}-4x^{2}}{x^{2}+6x+9}\left(x^{2}+4x+3\right)}
Express \frac{x^{3}-2x^{2}}{x+3}\left(x^{2}+4x+4\right) as a single fraction.
\frac{\frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3}}{\frac{\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}{x^{2}+6x+9}}
Express \frac{x^{4}-4x^{2}}{x^{2}+6x+9}\left(x^{2}+4x+3\right) as a single fraction.
\frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)\left(x^{2}+6x+9\right)}{\left(x+3\right)\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}
Divide \frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3} by \frac{\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}{x^{2}+6x+9} by multiplying \frac{\left(x^{3}-2x^{2}\right)\left(x^{2}+4x+4\right)}{x+3} by the reciprocal of \frac{\left(x^{4}-4x^{2}\right)\left(x^{2}+4x+3\right)}{x^{2}+6x+9}.
\frac{\left(x-2\right)x^{2}\left(x+2\right)^{2}\left(x+3\right)^{2}}{\left(x-2\right)\left(x+1\right)\left(x+2\right)x^{2}\left(x+3\right)^{2}}
Factor the expressions that are not already factored.
\frac{x+2}{x+1}
Cancel out \left(x-2\right)\left(x+2\right)x^{2}\left(x+3\right)^{2} in both numerator and denominator.
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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
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Limits
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