1. **Stating the problem:** We need to expand the algebraic expressions given: (e) $ (5 - 8x)^2 $ 2. **Formula used:** The square of a binomial $(a - b)^2 = a^2 - 2ab + b^2$. 3. **Applying the formula to (e):** Let $a = 5$ and $b = 8x$. $$ (5 - 8x)^2 = 5^2 - 2 \times 5 \times 8x + (8x)^2 $$ 4. **Calculating each term:** $$ 5^2 = 25 $$ $$ -2 \times 5 \times 8x = -80x $$ $$ (8x)^2 = 64x^2 $$ 5. **Putting it all together:** $$ (5 - 8x)^2 = 25 - 80x + 64x^2 $$ **Final answer:** $25 - 80x + 64x^2$