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The trinomial $4ab^2-4abn+an^2$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-4^2-4\left(4\right)\left(1\right) = 0$
Learn how to solve problems step by step online. Factor the expression 4ab^2-4abnan^2. The trinomial 4ab^2-4abn+an^2 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 \left(2\sqrt{a}b-\sqrt{a}n\right) by it's greatest common factor (GCF): \sqrt{a}.