(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:

\[ 64b^2 - 112b + 49 \]