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Express as a trinomial.

(2x+2)(3x-2)
Answer:

Express as a trinomial.\newline(2x+2)(3x2) (2 x+2)(3 x-2) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(2x+2)(3x2) (2 x+2)(3 x-2) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x+2)(2x+2) and (3x2)(3x-2).(2x+2)(3x2)=2x(3x)+2x(2)+2(3x)+2(2)(2x+2)(3x-2) = 2x(3x) + 2x(-2) + 2(3x) + 2(-2)
  2. Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial.\newline2x(3x)=6x22x(3x) = 6x^2\newline2x(2)=4x2x(-2) = -4x\newline2(3x)=6x2(3x) = 6x\newline2(2)=42(-2) = -4
  3. Combine Like Terms: Combine like terms.\newline6x2+(4x)+6x+(4)=6x2+2x46x^2 + (-4x) + 6x + (-4) = 6x^2 + 2x - 4

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