Question

factor the polynomial. drag the expressions into the box if they are part of the factored form of the polynomial.\\(d^2 - 25f^2\\)

Explanation:

Step1: Identify the formula

The polynomial \(d^{2}-25f^{2}\) is a difference of squares. The formula for factoring a difference of squares is \(a^{2}-b^{2}=(a + b)(a - b)\).

Step2: Apply the formula

Here, \(a = d\) and \(b = 5f\) (since \((5f)^{2}=25f^{2}\)). Substituting into the formula, we get:
\(d^{2}-25f^{2}=(d + 5f)(d - 5f)\)

Answer:

The factored form of the polynomial \(d^{2}-25f^{2}\) is \((d + 5f)(d - 5f)\)