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