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

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

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, meaning each can be written as something squared.
3. Rewrite the original expression in the form \(a^2 - b^2\) by expressing each term as a square of a simpler expression.
4. Apply the formula by factoring the expression into the product of two binomials: \((a - b)(a + b)\).
5. Simplify each binomial if possible, and write the final factored form.