Evaluate
\frac{\left(x-2\right)\left(\left(x+2\right)\left(2x+1\right)\right)^{2}}{x+1}
Expand
\frac{4x^{5}+12x^{4}-7x^{3}-46x^{2}-36x-8}{x+1}
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\frac{\left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right)}{\frac{x^{2}-1}{2x^{2}+5x+2}}
Divide 2x^{2}-3x-2 by \frac{\frac{x^{2}-1}{2x^{2}+5x+2}}{x^{2}+x-2} by multiplying 2x^{2}-3x-2 by the reciprocal of \frac{\frac{x^{2}-1}{2x^{2}+5x+2}}{x^{2}+x-2}.
\frac{\left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right)\left(2x^{2}+5x+2\right)}{x^{2}-1}
Divide \left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right) by \frac{x^{2}-1}{2x^{2}+5x+2} by multiplying \left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right) by the reciprocal of \frac{x^{2}-1}{2x^{2}+5x+2}.
\frac{\left(x-2\right)\left(x-1\right)\left(x+2\right)^{2}\left(2x+1\right)^{2}}{\left(x-1\right)\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{\left(x-2\right)\left(x+2\right)^{2}\left(2x+1\right)^{2}}{x+1}
Cancel out x-1 in both numerator and denominator.
\frac{4x^{5}+12x^{4}-7x^{3}-46x^{2}-36x-8}{x+1}
Expand the expression.
\frac{\left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right)}{\frac{x^{2}-1}{2x^{2}+5x+2}}
Divide 2x^{2}-3x-2 by \frac{\frac{x^{2}-1}{2x^{2}+5x+2}}{x^{2}+x-2} by multiplying 2x^{2}-3x-2 by the reciprocal of \frac{\frac{x^{2}-1}{2x^{2}+5x+2}}{x^{2}+x-2}.
\frac{\left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right)\left(2x^{2}+5x+2\right)}{x^{2}-1}
Divide \left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right) by \frac{x^{2}-1}{2x^{2}+5x+2} by multiplying \left(2x^{2}-3x-2\right)\left(x^{2}+x-2\right) by the reciprocal of \frac{x^{2}-1}{2x^{2}+5x+2}.
\frac{\left(x-2\right)\left(x-1\right)\left(x+2\right)^{2}\left(2x+1\right)^{2}}{\left(x-1\right)\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{\left(x-2\right)\left(x+2\right)^{2}\left(2x+1\right)^{2}}{x+1}
Cancel out x-1 in both numerator and denominator.
\frac{4x^{5}+12x^{4}-7x^{3}-46x^{2}-36x-8}{x+1}
Expand the expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}