Evaluate
\frac{s^{2}-7s-49}{s\left(s+7\right)}
Factor
\frac{\left(s-\frac{7-7\sqrt{5}}{2}\right)\left(s-\frac{7\sqrt{5}+7}{2}\right)}{s\left(s+7\right)}
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\frac{ss}{s\left(s+7\right)}-\frac{7\left(s+7\right)}{s\left(s+7\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of s+7 and s is s\left(s+7\right). Multiply \frac{s}{s+7} times \frac{s}{s}. Multiply \frac{7}{s} times \frac{s+7}{s+7}.
\frac{ss-7\left(s+7\right)}{s\left(s+7\right)}
Since \frac{ss}{s\left(s+7\right)} and \frac{7\left(s+7\right)}{s\left(s+7\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{s^{2}-7s-49}{s\left(s+7\right)}
Do the multiplications in ss-7\left(s+7\right).
\frac{s^{2}-7s-49}{s^{2}+7s}
Expand s\left(s+7\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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Limits
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