Final answer:
To prove (4w + 1)(4w + 1), you can use the distributive property and combine like terms.
Step-by-step explanation:
To prove (4w + 1)(4w + 1), we can use the distributive property. First, multiply 4w by each term inside the second parentheses: 4w * 4w = 16w^2 and 4w * 1 = 4w. Then, multiply 1 by each term inside the first parentheses: 1 * 4w = 4w and 1 * 1 = 1. Finally, combine like terms: 16w^2 + 4w + 4w + 1 = 16w^2 + 8w + 1.