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Find the product. Simplify your answer.\newline(2f+2)(2f+4)(2f + 2)(2f + 4)

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Q. Find the product. Simplify your answer.\newline(2f+2)(2f+4)(2f + 2)(2f + 4)
  1. Apply Distributive Property: We will use the distributive property to multiply each term in the first binomial by each term in the second binomial.\newline(2f+2)(2f+4)=2f(2f)+2f(4)+2(2f)+2(4)(2f + 2)(2f + 4) = 2f(2f) + 2f(4) + 2(2f) + 2(4)
  2. Perform Multiplication: Now we will perform the multiplication for each term.\newline2f(2f)=4f22f(2f) = 4f^2\newline2f(4)=8f2f(4) = 8f\newline2(2f)=4f2(2f) = 4f\newline2(4)=82(4) = 8
  3. Add Products: Next, we will add all the products together to get the simplified form. 4f2+8f+4f+84f^2 + 8f + 4f + 8
  4. Combine Like Terms: Combine like terms 8f8f and 4f4f to get the final simplified expression.4f2+12f+84f^2 + 12f + 8

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