It seems like you've provided an expression, but its context isn't clear. The expression \( a^1 - d^2 \) can be interpreted in a few ways, depending on what you're looking for:
Simplification: The expression can be simply rewritten as \( a - d^2 \) since \( a^1 \) is just \( a \).
Factoring: If you are looking to factor \( a - d^2 \), it can be expressed as: \[ a - d^2 = (a - d)(a + d) \] if \( a \) is interpreted to have a factoring condition.
Calculating Values: If you're looking to evaluate this expression for specific values of \( a \) and \( d \), please provide those.
Conceptual Understanding: If you're studying algebraic expressions, this might be a good opportunity to review how to handle polynomials, factoring, and properties of exponents.
Please provide additional context or clarify what you need!