Write the following difference of squares as a product of two binomials.
$81-G^2$

• A. $(81-G)(81+G)$
• B. $(9-G^2)(9+G^2)$
• C. $(9-G)(9-G)$
• D. $(9-G)(9+G)$

Answer: (D)

Verified step by step guidance

1. Recall the Difference of Squares formula: \(a^2 - b^2 = (a - b)(a + b)\).
2. Identify the two perfect squares in the given expression, where the expression is in the form \(A^2 - B^2\).
3. Express each term as a square of a binomial or monomial, for example, write \(A^2\) and \(B^2\) explicitly.
4. Apply the formula by writing the factored form as \((A - B)(A + B)\).
5. Simplify each binomial if possible, and write the final factored expression.