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Find the square. Simplify your answer. (3b+3)2(3b+3)^2

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Multiply two binomials: special casesright chevron icon

Full solution

Q. Find the square. Simplify your answer. (3b+3)2(3b+3)^2
  1. Identify Binomial and Formula: Identify the binomial to be squared and the special case formula.\newlineThe given expression is (3b+3)2(3b + 3)^2, which is a binomial squared.\newlineThe special case formula for the square of a binomial is (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2.
  2. Identify aa and bb: Identify the values of aa and bb in the binomial.\newlineIn the expression (3b+3)2(3b + 3)^2, aa is 3b3b and bb is 33.
  3. Apply Binomial Formula: Apply the square of a binomial formula to expand (3b+3)2(3b + 3)^2. Using the formula (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2, we get: (3b+3)2=(3b)2+2(3b)(3)+(3)2(3b + 3)^2 = (3b)^2 + 2(3b)(3) + (3)^2
  4. Simplify Expression: Simplify the expanded expression.\newline(3b)2+2(3b)(3)+(3)2(3b)^2 + 2(3b)(3) + (3)^2\newline= 9b2+2(9b)+99b^2 + 2(9b) + 9\newline= 9b2+18b+99b^2 + 18b + 9

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