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

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Multiply two binomials: special casesright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline(2m−4)(2m+4)(2m - 4)(2m + 4)\newline_____
  1. Identify special case: Identify the special case: (2m−4)(2m+4)(2m - 4)(2m + 4) is in the form of (a−b)(a+b)(a - b)(a + b).\newlineSpecial case: (a−b)(a+b)=a2−b2(a - b)(a + b) = a^2 - b^2
  2. Identify values of aa and bb: Identify the values of aa and bb.a=2ma = 2mb=4b = 4
  3. Apply difference of squares formula: Apply the difference of squares formula to expand (2m−4)(2m+4)(2m - 4)(2m + 4).\newline(2m−4)(2m+4)=(2m)2−(4)2(2m - 4)(2m + 4) = (2m)^2 - (4)^2
  4. Simplify expression: Simplify (2m)2−(4)2.(2m)^2 - (4)^2.(2m)2−(4)2=(2m×2m)−(4×4)(2m)^2 - (4)^2 = (2m \times 2m) - (4 \times 4)=4m2−16= 4m^2 - 16

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