Special Case Identification: We are asked to find the square of the binomial (2t−3). This means we need to calculate (2t−3)2. Which special case applies here? (2t−3)2 is in the form of (a−b)2. Special case: (a−b)2=a2−2ab+b2
Values of a and b: Identify the values of a and b. Compare (2t−3)2 with (a−b)2. a=2tb=3
Application of Formula: Apply the square of a binomial formula to expand (2t−3)2.(a−b)2=a2−2ab+b2(2t−3)2=(2t)2−2(2t)(3)+32