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b\left(x^{2}-b^{2}\right)
Factor out b.
\left(x-b\right)\left(x+b\right)
Consider x^{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).
b\left(x-b\right)\left(x+b\right)
Rewrite the complete factored expression.