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h+12
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\frac{\left(8+h\right)^{2}-16}{8+h-4}
Multiply 8+h and 8+h to get \left(8+h\right)^{2}.
\frac{\left(8+h\right)^{2}-16}{4+h}
Subtract 4 from 8 to get 4.
\frac{\left(h+4\right)\left(h+12\right)}{h+4}
Factor the expressions that are not already factored.
h+12
Cancel out h+4 in both numerator and denominator.
\frac{\left(8+h\right)^{2}-16}{8+h-4}
Multiply 8+h and 8+h to get \left(8+h\right)^{2}.
\frac{\left(8+h\right)^{2}-16}{4+h}
Subtract 4 from 8 to get 4.
\frac{\left(h+4\right)\left(h+12\right)}{h+4}
Factor the expressions that are not already factored.
h+12
Cancel out h+4 in both numerator and denominator.
Examples
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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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