Question

multiply.
(10 - w)(10 + w)
simplify your answer.

Explanation:

Step1: Identify the formula

The expression \((10 - w)(10 + w)\) is in the form of a difference of squares, which follows the formula \((a - b)(a + b)=a^2 - b^2\). Here, \(a = 10\) and \(b=w\).

Step2: Apply the formula

Substitute \(a = 10\) and \(b = w\) into the formula \(a^2 - b^2\). We get \(10^2 - w^2\).

Step3: Simplify the terms

Calculate \(10^2=100\), so the expression becomes \(100 - w^2\).

Answer:

\(100 - w^2\)