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