Question

question
express ((x + 11)^2) as a trinomial in standard form.

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = x\) and \(b = 11\).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 11\) into the formula:
\(a^2 = x^2\), \(2ab = 2\times x\times11 = 22x\), and \(b^2 = 11^2 = 121\).
So, \((x + 11)^2 = x^2 + 22x + 121\).

Answer:

\(x^2 + 22x + 121\)