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Exercise

$\frac{x^2+2x+1}{x^2+1}$

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Final answer to the exercise

$\frac{\left(x+1\right)^{2}}{x^2+1}$

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$factor\left(x^3+x^2-x-1\right)$

$\frac{1+a^7}{1+a}$

$factor\left(x^3-3x-2\right)$

Main Topic: Perfect Square Trinomial

Perfect Square Trinomials have first and last terms that are positive perfect squares. And the middle term is twice the product of the square roots of the first and third terms. The sign of the middle term will tell us whether the factorization will involve a binomial that is either a sum or a difference (signs need to match)

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