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

Substitute \(a = x\) and \(b = 10\) into \(a^2 - 2ab + b^2\). We get \(x^2-2\times x\times10 + 10^2\).

Step3: Simplify the expression

Simplify each term: \(-2\times x\times10=-20x\) and \(10^2 = 100\). So the expression becomes \(x^2-20x + 100\).

Answer:

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