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The trinomial $4a^4+12a^2b+9b^2$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=12^2-4\left(4\right)\left(9\right) = 0$
Learn how to solve polynomial factorization problems step by step online. Factor the expression 4a^4+12a^2b9b^2. The trinomial 4a^4+12a^2b+9b^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.