(7-8b)2

To simplify the expression \((7 - 8b)^2\), we can use the formula for the square of a binomial, \((a - b)^2 = a^2 - 2ab + b^2\). Here, \(a = 7\) and \(b = 8b\). Applying the formula: \[ (7 - 8b)^2 = 7^2 - 2(7)(8b) + (8b)^2 \] Calculating each term: 1. \(7^2 = 49\) 2. \(-2(7)(8b) = -112b\) 3. \((8b)^2 = 64b^2\) Putting it all together: \[ (7 - 8b)^2 = 49 - 112b + 64b^2 \] So, the simplified expression is: \[ 64b^2 - 112b + 49 \]