Evaluate
-\frac{3\left(2x-1\right)}{4x^{4}}
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-\frac{3\left(2x-1\right)}{4x^{4}}
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\frac{3\left(2x-1\right)}{7x\left(x-6\right)}\times \frac{14\left(6-x\right)}{8x^{3}}
Cancel out x in both numerator and denominator.
\frac{3\left(2x-1\right)}{7x\left(x-6\right)}\times \frac{7\left(-x+6\right)}{4x^{3}}
Cancel out 2 in both numerator and denominator.
\frac{3\left(2x-1\right)\times 7\left(-x+6\right)}{7x\left(x-6\right)\times 4x^{3}}
Multiply \frac{3\left(2x-1\right)}{7x\left(x-6\right)} times \frac{7\left(-x+6\right)}{4x^{3}} by multiplying numerator times numerator and denominator times denominator.
\frac{-3\times 7\left(x-6\right)\left(2x-1\right)}{4\times 7x\left(x-6\right)x^{3}}
Extract the negative sign in -x+6.
\frac{-3\left(2x-1\right)}{4xx^{3}}
Cancel out 7\left(x-6\right) in both numerator and denominator.
\frac{-3\left(2x-1\right)}{4x^{4}}
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
\frac{-6x+3}{4x^{4}}
Use the distributive property to multiply -3 by 2x-1.
\frac{3\left(2x-1\right)}{7x\left(x-6\right)}\times \frac{14\left(6-x\right)}{8x^{3}}
Cancel out x in both numerator and denominator.
\frac{3\left(2x-1\right)}{7x\left(x-6\right)}\times \frac{7\left(-x+6\right)}{4x^{3}}
Cancel out 2 in both numerator and denominator.
\frac{3\left(2x-1\right)\times 7\left(-x+6\right)}{7x\left(x-6\right)\times 4x^{3}}
Multiply \frac{3\left(2x-1\right)}{7x\left(x-6\right)} times \frac{7\left(-x+6\right)}{4x^{3}} by multiplying numerator times numerator and denominator times denominator.
\frac{-3\times 7\left(x-6\right)\left(2x-1\right)}{4\times 7x\left(x-6\right)x^{3}}
Extract the negative sign in -x+6.
\frac{-3\left(2x-1\right)}{4xx^{3}}
Cancel out 7\left(x-6\right) in both numerator and denominator.
\frac{-3\left(2x-1\right)}{4x^{4}}
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
\frac{-6x+3}{4x^{4}}
Use the distributive property to multiply -3 by 2x-1.
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}