Evaluate
-\frac{3\left(x-2\right)}{2\left(x-3\right)\left(x+1\right)}
Expand
-\frac{3\left(x-2\right)}{2\left(x-3\right)\left(x+1\right)}
Graph
Quiz
Polynomial
5 problems similar to:
- \frac { 3 } { 2 } \frac { ( x - 2 ) } { ( x + 1 ) ( x - 3 ) }
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-\frac{3}{2}\times \frac{x-2}{x^{2}-3x+x-3}
Apply the distributive property by multiplying each term of x+1 by each term of x-3.
-\frac{3}{2}\times \frac{x-2}{x^{2}-2x-3}
Combine -3x and x to get -2x.
\frac{-3\left(x-2\right)}{2\left(x^{2}-2x-3\right)}
Multiply -\frac{3}{2} times \frac{x-2}{x^{2}-2x-3} by multiplying numerator times numerator and denominator times denominator.
\frac{-3x+6}{2\left(x^{2}-2x-3\right)}
Use the distributive property to multiply -3 by x-2.
\frac{-3x+6}{2x^{2}-4x-6}
Use the distributive property to multiply 2 by x^{2}-2x-3.
-\frac{3}{2}\times \frac{x-2}{x^{2}-3x+x-3}
Apply the distributive property by multiplying each term of x+1 by each term of x-3.
-\frac{3}{2}\times \frac{x-2}{x^{2}-2x-3}
Combine -3x and x to get -2x.
\frac{-3\left(x-2\right)}{2\left(x^{2}-2x-3\right)}
Multiply -\frac{3}{2} times \frac{x-2}{x^{2}-2x-3} by multiplying numerator times numerator and denominator times denominator.
\frac{-3x+6}{2\left(x^{2}-2x-3\right)}
Use the distributive property to multiply -3 by x-2.
\frac{-3x+6}{2x^{2}-4x-6}
Use the distributive property to multiply 2 by x^{2}-2x-3.
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}