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# Factor the expression $121+198x^6+81x^{12}$

## Step-by-step Solution

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###  Videos

$\left(9x^{6}+11\right)^{2}$
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##  Step-by-step Solution 

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The trinomial $121+198x^6+81x^{12}$ is a perfect square trinomial, because it's discriminant is equal to zero

$\Delta=b^2-4ac=198^2-4\left(81\right)\left(121\right) = 0$

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.

$\left(9x^{6}+11\right)^{2}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind 121+198x^6 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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◻/◻
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e
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ln
log
log
lim
d/dx
Dx
|◻|
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=
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>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.