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Answer :
Final Answer:
The factored form of the trinomial x² - 12xn + 27ˣ² is (x - 9ˣ)(x - 3ˣ).
Explanation:
To factor the trinomial x² - 12xn + 27ˣ², we look for two numbers that multiply to give the constant term (27ˣ²) and add up to give the coefficient of the middle term (-12xn).
These numbers are -9ˣ and -3ˣ because (-9ˣ) * (-3ˣ) = 27ˣ² and (-9ˣ) + (-3ˣ) = -12xn. Therefore, the factored form of the trinomial is (x - 9ˣ)(x - 3ˣ) using the concept of factoring by splitting the middle term into two terms that sum up to the middle ter
m and multiply to the constant term.
This factored form represents the expression as a product of two binomials, each with x as the first term and -9ˣ and -3ˣ as the second terms, respectively.
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