Question

1. distribute the following perfect square: $(x + 5)^2$ lets try that again $(x + 5)^2 = x^2 + 8x + 16$

Explanation:

Step1: Recall the perfect square formula

The formula for a perfect square of a binomial \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = x\) and \(b = 5\).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 5\) into the formula:
\(a^2 = x^2\), \(2ab = 2\times x\times5 = 10x\), \(b^2 = 5^2 = 25\).
So, \((x + 5)^2 = x^2 + 10x + 25\).

Answer:

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