Evaluate
8\left(x-3\right)
Expand
8x-24
Graph
Quiz
Polynomial
5 problems similar to:
( \frac { 4 } { x } + \frac { 4 } { x - 6 } ) \cdot x ( x - 6 )
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\left(\frac{4\left(x-6\right)}{x\left(x-6\right)}+\frac{4x}{x\left(x-6\right)}\right)x\left(x-6\right)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x-6 is x\left(x-6\right). Multiply \frac{4}{x} times \frac{x-6}{x-6}. Multiply \frac{4}{x-6} times \frac{x}{x}.
\frac{4\left(x-6\right)+4x}{x\left(x-6\right)}x\left(x-6\right)
Since \frac{4\left(x-6\right)}{x\left(x-6\right)} and \frac{4x}{x\left(x-6\right)} have the same denominator, add them by adding their numerators.
\frac{4x-24+4x}{x\left(x-6\right)}x\left(x-6\right)
Do the multiplications in 4\left(x-6\right)+4x.
\frac{8x-24}{x\left(x-6\right)}x\left(x-6\right)
Combine like terms in 4x-24+4x.
\frac{\left(8x-24\right)x}{x\left(x-6\right)}\left(x-6\right)
Express \frac{8x-24}{x\left(x-6\right)}x as a single fraction.
\frac{8x-24}{x-6}\left(x-6\right)
Cancel out x in both numerator and denominator.
8x-24
Cancel out x-6 and x-6.
\left(\frac{4\left(x-6\right)}{x\left(x-6\right)}+\frac{4x}{x\left(x-6\right)}\right)x\left(x-6\right)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x-6 is x\left(x-6\right). Multiply \frac{4}{x} times \frac{x-6}{x-6}. Multiply \frac{4}{x-6} times \frac{x}{x}.
\frac{4\left(x-6\right)+4x}{x\left(x-6\right)}x\left(x-6\right)
Since \frac{4\left(x-6\right)}{x\left(x-6\right)} and \frac{4x}{x\left(x-6\right)} have the same denominator, add them by adding their numerators.
\frac{4x-24+4x}{x\left(x-6\right)}x\left(x-6\right)
Do the multiplications in 4\left(x-6\right)+4x.
\frac{8x-24}{x\left(x-6\right)}x\left(x-6\right)
Combine like terms in 4x-24+4x.
\frac{\left(8x-24\right)x}{x\left(x-6\right)}\left(x-6\right)
Express \frac{8x-24}{x\left(x-6\right)}x as a single fraction.
\frac{8x-24}{x-6}\left(x-6\right)
Cancel out x in both numerator and denominator.
8x-24
Cancel out x-6 and x-6.
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}