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Find the product. Simplify your answer.\newline(3h+2)(3h2)(3h + 2)(3h - 2)

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Q. Find the product. Simplify your answer.\newline(3h+2)(3h2)(3h + 2)(3h - 2)
  1. Identify aa and bb: We are asked to find the product of two binomials: (3h+2)(3h2)(3h + 2)(3h - 2). This is a difference of squares problem, which follows the formula (a+b)(ab)=a2b2(a + b)(a - b) = a^2 - b^2.
  2. Apply formula: Identify the values of aa and bb. In the expression (3h+2)(3h2)(3h + 2)(3h - 2), aa is 3h3h and bb is 22.
  3. Simplify expression: Apply the difference of squares formula to expand (3h+2)(3h2)(3h + 2)(3h - 2).\newlineUsing the formula (a+b)(ab)=a2b2(a + b)(a - b) = a^2 - b^2, we get:\newline(3h+2)(3h2)=(3h)2(2)2(3h + 2)(3h - 2) = (3h)^2 - (2)^2
  4. Simplify expression: Apply the difference of squares formula to expand (3h+2)(3h2)(3h + 2)(3h - 2). Using the formula (a+b)(ab)=a2b2(a + b)(a - b) = a^2 - b^2, we get: (3h+2)(3h2)=(3h)2(2)2(3h + 2)(3h - 2) = (3h)^2 - (2)^2 Simplify (3h)2(2)2(3h)^2 - (2)^2. (3h)2(2)2=(3h×3h)(2×2)=9h24(3h)^2 - (2)^2 = (3h \times 3h) - (2 \times 2) = 9h^2 - 4

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