Final answer:
To expand and explain the equation (2Y-11)(2Y+11), we can use the FOIL method. The equation expands to 4Y^2 - 121.
Step-by-step explanation:
To expand and explain the equation (2Y-11)(2Y+11), we can use the FOIL method, which stands for First, Outer, Inner, Last. First, we multiply the first terms of each binomial: 2Y * 2Y = 4Y^2. Then, we multiply the outer terms: 2Y * 11 = 22Y. Next, we multiply the inner terms: -11 * 2Y = -22Y. Finally, we multiply the last terms: -11 * 11 = -121. Combining these results, we have 4Y^2 + 22Y - 22Y - 121. The middle terms, 22Y and -22Y, cancel each other out, which leaves us with the simplified equation 4Y^2 - 121.