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Express as a trinomial.

(2x-2)(2x+7)
Answer:

Express as a trinomial.\newline(2x2)(2x+7) (2 x-2)(2 x+7) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(2x2)(2x+7) (2 x-2)(2 x+7) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x2)(2x-2) and (2x+7)(2x+7).(2x2)(2x+7)=2x(2x)+2x(7)2(2x)2(7)(2x-2)(2x+7) = 2x(2x) + 2x(7) - 2(2x) - 2(7)
  2. Perform Multiplication: Perform the multiplication for each term.\newline2x(2x)=4x22x(2x) = 4x^2\newline2x(7)=14x2x(7) = 14x\newline2(2x)=4x-2(2x) = -4x\newline2(7)=14-2(7) = -14
  3. Combine Like Terms: Combine like terms.\newline4x2+14x4x144x^2 + 14x - 4x - 14\newline= 4x2+(14x4x)144x^2 + (14x - 4x) - 14\newline= 4x2+10x144x^2 + 10x - 14

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