Final Answer
$\left(9x^{6}+11\right)^{2}$
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Step-by-step Solution
Problem to solve:
$factor\left(121+198x^6+81x^{12}\right)$
Specify the solving method
1
The trinomial $121+198x^6+81x^{12}$ is a perfect square trinomial, because it's discriminant is equal to zero
$\Delta=b^2-4ac=198^2-4\left(81\right)\left(121\right) = 0$
2
Using the perfect square trinomial formula
$a^2+2ab+b^2=(a+b)^2,\:where\:a=\sqrt{81x^{12}}\:and\:b=\sqrt{121}$
Learn how to solve factorization problems step by step online.
$\Delta=b^2-4ac=198^2-4\left(81\right)\left(121\right) = 0$
Learn how to solve factorization problems step by step online. Factor the expression 121+198x^681x^12. The trinomial 121+198x^6+81x^{12} is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.
Final Answer
$\left(9x^{6}+11\right)^{2}$