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Find the square. Simplify your answer.\newline(3w−3)2(3w - 3)^2

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Multiply two binomials: special casesright chevron icon

Full solution

Q. Find the square. Simplify your answer.\newline(3w−3)2(3w - 3)^2
  1. Identify Binomial and Formula: Identify the binomial to be squared and the special case formula.\newlineThe given binomial is (3w−3)(3w - 3), and we need to square it. The 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 binomial (3w−3)(3w - 3), aa is 3w3w and bb is 33.
  3. Apply Formula to Expand: Apply the square of a binomial formula to expand (3w−3)2(3w - 3)^2.\newlineUsing the formula (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2, we get:\newline(3w−3)2=(3w)2−2(3w)(3)+(3)2(3w - 3)^2 = (3w)^2 - 2(3w)(3) + (3)^2
  4. Simplify Expression: Simplify the expression by performing the calculations.\newline(3w)2−2(3w)(3)+(3)2(3w)^2 - 2(3w)(3) + (3)^2\newline= 9w2−2(9w)+99w^2 - 2(9w) + 9\newline= 9w2−18w+99w^2 - 18w + 9

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