Cancelling down fractions with algebraic terms in them e.g.
$$ \begin{align*} \frac{3x+6}{x+2} &= \frac{3\cancel{(x+2)}}{\cancel{x+2}}\\ &= \enspace 3 \end{align*} $$
or $$ \begin{align*} \frac{x^2-1}{x+1} &= \frac{\cancel{(x+1)}(x-1)}{\cancel{x+1}}\\ &= \enspace x-1 \end{align*} $$
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