Question

find the product. simplify your answ (a - 6)²

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((x - y)^2\) is \(x^2 - 2xy + y^2\). Here, \(x = a\) and \(y = 6\).

Step2: Apply the formula

Substitute \(x = a\) and \(y = 6\) into the formula:
\((a - 6)^2 = a^2 - 2\times a\times6 + 6^2\)

Step3: Simplify the terms

Calculate each term: \(2\times a\times6 = 12a\) and \(6^2 = 36\). So we get \(a^2 - 12a + 36\).

Answer:

\(a^2 - 12a + 36\)