Evaluate
\frac{\left(x+1\right)\left(x+4\right)}{\left(x-3\right)\left(x+2\right)}
Expand
\frac{x^{2}+5x+4}{\left(x-3\right)\left(x+2\right)}
Graph
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\frac{\left(x+1\right)\left(x+4\right)}{\left(x+2\right)\left(x-3\right)}
Divide \frac{x+1}{x+2} by \frac{x-3}{x+4} by multiplying \frac{x+1}{x+2} by the reciprocal of \frac{x-3}{x+4}.
\frac{x^{2}+4x+x+4}{\left(x+2\right)\left(x-3\right)}
Apply the distributive property by multiplying each term of x+1 by each term of x+4.
\frac{x^{2}+5x+4}{\left(x+2\right)\left(x-3\right)}
Combine 4x and x to get 5x.
\frac{x^{2}+5x+4}{x^{2}-3x+2x-6}
Apply the distributive property by multiplying each term of x+2 by each term of x-3.
\frac{x^{2}+5x+4}{x^{2}-x-6}
Combine -3x and 2x to get -x.
\frac{\left(x+1\right)\left(x+4\right)}{\left(x+2\right)\left(x-3\right)}
Divide \frac{x+1}{x+2} by \frac{x-3}{x+4} by multiplying \frac{x+1}{x+2} by the reciprocal of \frac{x-3}{x+4}.
\frac{x^{2}+4x+x+4}{\left(x+2\right)\left(x-3\right)}
Apply the distributive property by multiplying each term of x+1 by each term of x+4.
\frac{x^{2}+5x+4}{\left(x+2\right)\left(x-3\right)}
Combine 4x and x to get 5x.
\frac{x^{2}+5x+4}{x^{2}-3x+2x-6}
Apply the distributive property by multiplying each term of x+2 by each term of x-3.
\frac{x^{2}+5x+4}{x^{2}-x-6}
Combine -3x and 2x to get -x.
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}