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Exercise

$36a^{8}-108a^{4}b^{2}+81b^{4}$

Step-by-step Solution

Learn how to solve perfect square trinomial problems step by step online. Factor the expression 36a^8-108a^4b^281b^4. The trinomial 36a^8-108a^4b^2+81b^{4} 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(6a^{4}-9b^{2}\right) by it's greatest common factor (GCF): 3.
Factor the expression 36a^8-108a^4b^281b^4

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Final answer to the exercise

$9\left(2a^{4}-3b^2\right)^{2}$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Main Topic: Perfect Square Trinomial

Perfect Square Trinomials have first and last terms that are positive perfect squares. And the middle term is twice the product of the square roots of the first and third terms. The sign of the middle term will tell us whether the factorization will involve a binomial that is either a sum or a difference (signs need to match)

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