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Find the product. Simplify your answer.\newline(d+3)(d+2)(d + 3)(d + 2)

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Full solution

Q. Find the product. Simplify your answer.\newline(d+3)(d+2)(d + 3)(d + 2)
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (d+3)(d + 3) and (d+2)(d + 2).(d+3)(d+2)=d(d)+d(2)+3(d)+3(2)(d + 3)(d + 2) = d(d) + d(2) + 3(d) + 3(2)
  2. Perform Multiplication: Perform the multiplication for each term.\newlined(d)=d2d(d) = d^2\newlined(2)=2dd(2) = 2d\newline3(d)=3d3(d) = 3d\newline3(2)=63(2) = 6
  3. Combine Like Terms: Combine the like terms from the multiplication.\newline(d+3)(d+2)=d2+2d+3d+6(d + 3)(d + 2) = d^2 + 2d + 3d + 6\newline=d2+(2d+3d)+6= d^2 + (2d + 3d) + 6\newline=d2+5d+6= d^2 + 5d + 6

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