Final answer to the problem
$\left(x^{2}+1\right)^{2}\left(x+1\right)^{2}\left(x-1\right)^{2}$
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Step-by-step Solution
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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
The trinomial $x^8-2x^4+1$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve factor by difference of squares problems step by step online.
$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve factor by difference of squares problems step by step online. Factor the expression x^8-2x^4+1. The trinomial x^8-2x^4+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Simplify \sqrt{x^{4}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}.
Final answer to the problem
$\left(x^{2}+1\right)^{2}\left(x+1\right)^{2}\left(x-1\right)^{2}$
