Question

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factor as the product of two binomials.
36 - x² =
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Explanation:

Step1: Identify the difference of squares

The expression \(36 - x^2\) is a difference of squares, since \(36 = 6^2\) and \(x^2\) is a perfect square. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).
Here, \(a = 6\) and \(b=x\).

Step2: Apply the difference of squares formula

Substitute \(a = 6\) and \(b = x\) into the formula \(a^2 - b^2=(a + b)(a - b)\).
So, \(36 - x^2=6^2 - x^2=(6 + x)(6 - x)\).

Answer:

\((6 + x)(6 - x)\)