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\frac{2x+1}{x^{2}-1^{2}}
Consider \left(x-1\right)\left(x+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{2x+1}{x^{2}-1}
Calculate 1 to the power of 2 and get 1.
\frac{2x+1}{x^{2}-1^{2}}
Consider \left(x-1\right)\left(x+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{2x+1}{x^{2}-1}
Calculate 1 to the power of 2 and get 1.