Write the following difference of squares as a product of two binomials.
$k^2-49$

• A. $(k-7)(k+7)$
• B. $(k-7)(k-7)$
• C. $k(k-49)$
• D. $(k-49)(k+49)$

Answer: (A)

Verified step by step guidance

1. Recall the Difference of Squares formula: \(a^2 - b^2 = (a - b)(a + b)\).
2. Identify the two terms in the expression that are perfect squares, where one term is subtracted from the other.
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 expression as the product of two binomials: \((a - b)(a + b)\).
5. Simplify each binomial if possible, and verify by expanding the product to ensure it matches the original expression.