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Express as a trinomial.

(x+9)(2x-1)
Answer:

Express as a trinomial.\newline(x+9)(2x1) (x+9)(2 x-1) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(x+9)(2x1) (x+9)(2 x-1) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x+9)(x+9) and (2x1)(2x-1).(x+9)(2x1)=x(2x)+x(1)+9(2x)+9(1)(x+9)(2x-1) = x(2x) + x(-1) + 9(2x) + 9(-1)
  2. Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial.\newlinex(2x)=2x2x(2x) = 2x^2\newlinex(1)=xx(-1) = -x\newline9(2x)=18x9(2x) = 18x\newline9(1)=99(-1) = -9
  3. Combine Like Terms: Combine like terms.\newline2x2+(x)+18x+(9)2x^2 + (-x) + 18x + (-9)\newline2x2+17x92x^2 + 17x - 9

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