Question

simplify the expression ((x + 5)^2)

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 \(b = 5\).

Step2: Substitute the values into the formula

Substitute \(a = x\) and \(b = 5\) into \(a^2 + 2ab + b^2\). We get \(x^2 + 2\times x\times5 + 5^2\).

Step3: Simplify the terms

Simplify each term: \(2\times x\times5 = 10x\) and \(5^2 = 25\). So the expression becomes \(x^2 + 10x + 25\).

Answer:

\(x^2 + 10x + 25\)