Evaluate
\frac{x^{2}+10x+26}{\left(x-2\right)\left(x+6\right)}
Expand
\frac{x^{2}+10x+26}{\left(x-2\right)\left(x+6\right)}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { x + 4 } { x - 2 } + \frac { 2 } { x ^ { 2 } + 4 x - 12 }
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\frac{x+4}{x-2}+\frac{2}{\left(x-2\right)\left(x+6\right)}
Factor x^{2}+4x-12.
\frac{\left(x+4\right)\left(x+6\right)}{\left(x-2\right)\left(x+6\right)}+\frac{2}{\left(x-2\right)\left(x+6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-2 and \left(x-2\right)\left(x+6\right) is \left(x-2\right)\left(x+6\right). Multiply \frac{x+4}{x-2} times \frac{x+6}{x+6}.
\frac{\left(x+4\right)\left(x+6\right)+2}{\left(x-2\right)\left(x+6\right)}
Since \frac{\left(x+4\right)\left(x+6\right)}{\left(x-2\right)\left(x+6\right)} and \frac{2}{\left(x-2\right)\left(x+6\right)} have the same denominator, add them by adding their numerators.
\frac{x^{2}+6x+4x+24+2}{\left(x-2\right)\left(x+6\right)}
Do the multiplications in \left(x+4\right)\left(x+6\right)+2.
\frac{x^{2}+10x+26}{\left(x-2\right)\left(x+6\right)}
Combine like terms in x^{2}+6x+4x+24+2.
\frac{x^{2}+10x+26}{x^{2}+4x-12}
Expand \left(x-2\right)\left(x+6\right).
\frac{x+4}{x-2}+\frac{2}{\left(x-2\right)\left(x+6\right)}
Factor x^{2}+4x-12.
\frac{\left(x+4\right)\left(x+6\right)}{\left(x-2\right)\left(x+6\right)}+\frac{2}{\left(x-2\right)\left(x+6\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-2 and \left(x-2\right)\left(x+6\right) is \left(x-2\right)\left(x+6\right). Multiply \frac{x+4}{x-2} times \frac{x+6}{x+6}.
\frac{\left(x+4\right)\left(x+6\right)+2}{\left(x-2\right)\left(x+6\right)}
Since \frac{\left(x+4\right)\left(x+6\right)}{\left(x-2\right)\left(x+6\right)} and \frac{2}{\left(x-2\right)\left(x+6\right)} have the same denominator, add them by adding their numerators.
\frac{x^{2}+6x+4x+24+2}{\left(x-2\right)\left(x+6\right)}
Do the multiplications in \left(x+4\right)\left(x+6\right)+2.
\frac{x^{2}+10x+26}{\left(x-2\right)\left(x+6\right)}
Combine like terms in x^{2}+6x+4x+24+2.
\frac{x^{2}+10x+26}{x^{2}+4x-12}
Expand \left(x-2\right)\left(x+6\right).
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Simultaneous equation
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\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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