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Express as a trinomial.

(3x-9)(3x-3)
Answer:

Express as a trinomial.\newline(3x9)(3x3) (3 x-9)(3 x-3) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(3x9)(3x3) (3 x-9)(3 x-3) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (3x9)(3x-9) and (3x3)(3x-3).(3x9)(3x3)=3x(3x)+3x(3)9(3x)9(3)(3x-9)(3x-3) = 3x(3x) + 3x(-3) - 9(3x) - 9(-3)
  2. Multiply Terms: Multiply the terms.\newline3x(3x)=9x23x(3x) = 9x^2\newline3x(3)=9x3x(-3) = -9x\newline9(3x)=27x-9(3x) = -27x\newline9(3)=27-9(-3) = 27
  3. Combine Like Terms: Combine like terms.\newline9x29x27x+279x^2 - 9x - 27x + 27\newline9x236x+279x^2 - 36x + 27

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