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The trinomial $x^6+4x^3+4$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=4^2-4\left(1\right)\left(4\right) = 0$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (x^6+4x^3+4)/(x^3-4x^2). The trinomial x^6+4x^3+4 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Factor the polynomial x^3-4x^2 by it's greatest common factor (GCF): x^2.