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Find the square. Simplify your answer.\newline(4v3)2(4v - 3)^2

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Q. Find the square. Simplify your answer.\newline(4v3)2(4v - 3)^2
  1. Special Case Identification: We are asked to find the square of the binomial (4v3)(4v - 3). This means we need to calculate (4v3)2(4v - 3)^2.\newlineWhich special case applies here?\newline(4v3)2(4v - 3)^2 is in the form of (ab)2(a - b)^2.\newlineSpecial case: (ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2
  2. Values of a and b: Identify the values of aa and bb. Compare (4v3)2(4v - 3)^2 with (ab)2(a - b)^2. a=4va = 4v b=3b = 3
  3. Application of Binomial Formula: Apply the square of a binomial formula to expand (4v3)2(4v - 3)^2.\newline(ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2\newline(4v3)2=(4v)22(4v)(3)+32(4v - 3)^2 = (4v)^2 - 2(4v)(3) + 3^2
  4. Simplification: Simplify (4v)22(4v)(3)+32.(4v)^2 - 2(4v)(3) + 3^2.(4v)22(4v)(3)+32(4v)^2 - 2(4v)(3) + 3^2=(4v×4v)(2×4×3)v+3×3= (4v \times 4v) - (2 \times 4 \times 3)v + 3 \times 3=16v224v+9= 16v^2 - 24v + 9

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