Evaluate
-\frac{\left(x+1\right)\left(3x+2\right)}{3x\left(x-3\right)}
Expand
-\frac{3x^{2}+5x+2}{3x\left(x-3\right)}
Graph
Share
Copied to clipboard
\frac{\left(3x+2\right)\left(-x-1\right)}{\left(x-3\right)\times 3x}
Multiply \frac{3x+2}{x-3} times \frac{-x-1}{3x} by multiplying numerator times numerator and denominator times denominator.
\frac{3x\left(-x\right)-3x+2\left(-x\right)-2}{\left(x-3\right)\times 3x}
Apply the distributive property by multiplying each term of 3x+2 by each term of -x-1.
\frac{3x\left(-x\right)-3x+2\left(-x\right)-2}{\left(3x-9\right)x}
Use the distributive property to multiply x-3 by 3.
\frac{3x\left(-x\right)-3x+2\left(-x\right)-2}{3x^{2}-9x}
Use the distributive property to multiply 3x-9 by x.
\frac{-3xx-3x+2\left(-1\right)x-2}{3x^{2}-9x}
Multiply 3 and -1 to get -3.
\frac{-3x^{2}-3x+2\left(-1\right)x-2}{3x^{2}-9x}
Multiply x and x to get x^{2}.
\frac{-3x^{2}-3x-2x-2}{3x^{2}-9x}
Multiply 2 and -1 to get -2.
\frac{-3x^{2}-5x-2}{3x^{2}-9x}
Combine -3x and -2x to get -5x.
\frac{\left(3x+2\right)\left(-x-1\right)}{\left(x-3\right)\times 3x}
Multiply \frac{3x+2}{x-3} times \frac{-x-1}{3x} by multiplying numerator times numerator and denominator times denominator.
\frac{3x\left(-x\right)-3x+2\left(-x\right)-2}{\left(x-3\right)\times 3x}
Apply the distributive property by multiplying each term of 3x+2 by each term of -x-1.
\frac{3x\left(-x\right)-3x+2\left(-x\right)-2}{\left(3x-9\right)x}
Use the distributive property to multiply x-3 by 3.
\frac{3x\left(-x\right)-3x+2\left(-x\right)-2}{3x^{2}-9x}
Use the distributive property to multiply 3x-9 by x.
\frac{-3xx-3x+2\left(-1\right)x-2}{3x^{2}-9x}
Multiply 3 and -1 to get -3.
\frac{-3x^{2}-3x+2\left(-1\right)x-2}{3x^{2}-9x}
Multiply x and x to get x^{2}.
\frac{-3x^{2}-3x-2x-2}{3x^{2}-9x}
Multiply 2 and -1 to get -2.
\frac{-3x^{2}-5x-2}{3x^{2}-9x}
Combine -3x and -2x to get -5x.
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}