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Find the square. Simplify your answer.\newline(2a4)2(2a - 4)^2

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Q. Find the square. Simplify your answer.\newline(2a4)2(2a - 4)^2
  1. Identify values of aa and bb: Identify the values of aa and bb in the binomial (2a4)2(2a - 4)^2. In this case, a=2aa = 2a and b=4b = 4.
  2. Apply binomial square formula: Apply the square of a binomial formula to expand (2a4)2(2a - 4)^2. Using the formula (ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2, we get: (2a4)2=(2a)22(2a)(4)+(4)2(2a - 4)^2 = (2a)^2 - 2\cdot(2a)\cdot(4) + (4)^2
  3. Simplify the expression: Simplify the expression by performing the calculations.\newline(2a)22(2a)(4)+(4)2(2a)^2 - 2\cdot(2a)\cdot(4) + (4)^2\newline= 4a216a+164a^2 - 16a + 16

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