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The trinomial $400x^{10}+40x^5+1$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=40^2-4\left(400\right)\left(1\right) = 0$
Learn how to solve factorization problems step by step online. Factor the expression 400x^10+40x^5+1. The trinomial 400x^{10}+40x^5+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.