Evaluate
\frac{2\left(3x-4\right)}{\left(x-2\right)\left(x+4\right)}
Expand
\frac{2\left(3x-4\right)}{\left(x-2\right)\left(x+4\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac{ { x }^{ 2 } }{ { x }^{ 2 } +2x-8 } - \frac{ x-4 }{ x+4 }
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\frac{x^{2}}{\left(x-2\right)\left(x+4\right)}-\frac{x-4}{x+4}
Factor x^{2}+2x-8.
\frac{x^{2}}{\left(x-2\right)\left(x+4\right)}-\frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of \left(x-2\right)\left(x+4\right) and x+4 is \left(x-2\right)\left(x+4\right). Multiply \frac{x-4}{x+4} times \frac{x-2}{x-2}.
\frac{x^{2}-\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+4\right)}
Since \frac{x^{2}}{\left(x-2\right)\left(x+4\right)} and \frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+4\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-x^{2}+2x+4x-8}{\left(x-2\right)\left(x+4\right)}
Do the multiplications in x^{2}-\left(x-4\right)\left(x-2\right).
\frac{6x-8}{\left(x-2\right)\left(x+4\right)}
Combine like terms in x^{2}-x^{2}+2x+4x-8.
\frac{6x-8}{x^{2}+2x-8}
Expand \left(x-2\right)\left(x+4\right).
\frac{x^{2}}{\left(x-2\right)\left(x+4\right)}-\frac{x-4}{x+4}
Factor x^{2}+2x-8.
\frac{x^{2}}{\left(x-2\right)\left(x+4\right)}-\frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+4\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of \left(x-2\right)\left(x+4\right) and x+4 is \left(x-2\right)\left(x+4\right). Multiply \frac{x-4}{x+4} times \frac{x-2}{x-2}.
\frac{x^{2}-\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+4\right)}
Since \frac{x^{2}}{\left(x-2\right)\left(x+4\right)} and \frac{\left(x-4\right)\left(x-2\right)}{\left(x-2\right)\left(x+4\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}-x^{2}+2x+4x-8}{\left(x-2\right)\left(x+4\right)}
Do the multiplications in x^{2}-\left(x-4\right)\left(x-2\right).
\frac{6x-8}{\left(x-2\right)\left(x+4\right)}
Combine like terms in x^{2}-x^{2}+2x+4x-8.
\frac{6x-8}{x^{2}+2x-8}
Expand \left(x-2\right)\left(x+4\right).
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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
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