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Express as a trinomial.

(x-9)(2x-9)
Answer:

Express as a trinomial.\newline(x9)(2x9) (x-9)(2 x-9) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(x9)(2x9) (x-9)(2 x-9) \newlineAnswer:
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x9)(x-9) and (2x9)(2x-9). First, multiply the first terms in each binomial: x×2x=2x2x \times 2x = 2x^2.
  2. Multiply first terms: Multiply the outer terms: x×(9)=9xx \times (-9) = -9x.
  3. Multiply outer terms: Multiply the inner terms: (9)×2x=18x(-9) \times 2x = -18x.
  4. Multiply inner terms: Multiply the last terms in each binomial: (9)×(9)=81(-9) \times (-9) = 81.
  5. Multiply last terms: Combine the like terms from the products of the outer and inner terms: 9x18x=27x-9x - 18x = -27x.
  6. Combine like terms: Write the simplified trinomial expression by combining all the products: 2x227x+812x^2 - 27x + 81.

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