Question

question
express \\((x + 7)^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 \(b = 7\).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 7\) into the formula:
\(a^2=x^2\), \(2ab = 2\times x\times7 = 14x\), and \(b^2 = 7^2=49\).
So, \((x + 7)^2=x^2+14x + 49\).

Answer:

\(x^{2}+14x + 49\)