Question

question
express ((x + 8)^2) as a trinomial in standard form.

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = x\) and \(b = 8\).

Step2: Substitute the values into the formula

Substitute \(a = x\) and \(b = 8\) into \(a^2 + 2ab + b^2\). We get \(x^2 + 2\times x\times8 + 8^2\).

Step3: Simplify the expression

Simplify each term: \(2\times x\times8 = 16x\) and \(8^2 = 64\). So the expression becomes \(x^2 + 16x + 64\).

Answer:

\(x^2 + 16x + 64\)