The problem asks to evaluate the expression $81^2 - 80^2$.

AlgebraDifference of SquaresExponents
2025/8/7

1. Problem Description

The problem asks to evaluate the expression 81280281^2 - 80^2.

2. Solution Steps

We can use the difference of squares formula to simplify the expression. The formula is:
a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b)
In this case, a=81a = 81 and b=80b = 80. Applying the formula, we have:
812802=(81+80)(8180)81^2 - 80^2 = (81 + 80)(81 - 80)
812802=(161)(1)81^2 - 80^2 = (161)(1)
812802=16181^2 - 80^2 = 161

3. Final Answer

161

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