Evaluate
\frac{\left(s+3\right)s^{2}}{q\left(s+2\right)}
Expand
\frac{s^{3}+3s^{2}}{q\left(s+2\right)}
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\frac{s^{2}\left(s+3\right)}{\left(s+2\right)q}
Multiply \frac{s^{2}}{s+2} times \frac{s+3}{q} by multiplying numerator times numerator and denominator times denominator.
\frac{s^{3}+3s^{2}}{\left(s+2\right)q}
Use the distributive property to multiply s^{2} by s+3.
\frac{s^{3}+3s^{2}}{sq+2q}
Use the distributive property to multiply s+2 by q.
\frac{s^{2}\left(s+3\right)}{\left(s+2\right)q}
Multiply \frac{s^{2}}{s+2} times \frac{s+3}{q} by multiplying numerator times numerator and denominator times denominator.
\frac{s^{3}+3s^{2}}{\left(s+2\right)q}
Use the distributive property to multiply s^{2} by s+3.
\frac{s^{3}+3s^{2}}{sq+2q}
Use the distributive property to multiply s+2 by q.
Examples
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Matrix
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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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