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

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Multiply two binomials: special casesright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline(2f−4)(2f+4)(2f - 4)(2f + 4)\newline_____
  1. Identify Binomials: We're multiplying two binomials that are conjugates of each other, (2f−4)(2f+4)(2f - 4)(2f + 4).
  2. Apply Formula: Use the formula (a−b)(a+b)=a2−b2(a - b)(a + b) = a^2 - b^2 to simplify the expression.
  3. Determine aa and bb: Identify aa and bb. Here, a=2fa = 2f and b=4b = 4.
  4. Substitute into Formula: Plug aa and bb into the formula: (2f)2−(4)2(2f)^2 - (4)^2.
  5. Calculate Squares: Calculate (2f)2(2f)^2 and (4)2(4)^2: (2f)2=4f2(2f)^2 = 4f^2 and (4)2=16(4)^2 = 16.
  6. Subtract Squares: Subtract the squares: 4f2−164f^2 - 16.

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