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\left(1-w\right)\left(1+w\right)
Rewrite -w^{2}+1 as 1^{2}-w^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-w+1\right)\left(w+1\right)
Reorder the terms.