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\frac{x^{2}-4}{4}
Factor out \frac{1}{4}.
\left(x-2\right)\left(x+2\right)
Consider x^{2}-4. Rewrite x^{2}-4 as x^{2}-2^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(x-2\right)\left(x+2\right)}{4}
Rewrite the complete factored expression.