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Express as a trinomial.

(x+2)(2x+2)
Answer:

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

Full solution

Q. Express as a trinomial.\newline(x+2)(2x+2) (x+2)(2 x+2) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x+2)(x+2) and (2x+2)(2x+2).(x+2)(2x+2)=x(2x)+x(2)+2(2x)+2(2)(x+2)(2x+2) = x(2x) + x(2) + 2(2x) + 2(2)
  2. Perform Multiplication: Perform the multiplication for each term.\newlinex(2x)=2x2x(2x) = 2x^2\newlinex(2)=2xx(2) = 2x\newline2(2x)=4x2(2x) = 4x\newline2(2)=42(2) = 4
  3. Combine Like Terms: Combine like terms.\newline2x2+2x+4x+42x^2 + 2x + 4x + 4\newline2x2+(2x+4x)+42x^2 + (2x + 4x) + 4\newline2x2+6x+42x^2 + 6x + 4

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