Question

question
express ((x + 10)^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 \(b = 10\).

Step2: Substitute the values into the formula

For \(a = x\) and \(b = 10\), we have:
\(a^2=x^2\), \(2ab = 2\times x\times10 = 20x\), and \(b^2 = 10^2=100\).

Step3: Combine the terms

Adding these terms together, we get \(x^2+20x + 100\).

Answer:

\(x^2 + 20x + 100\)