Question

1. distribute the following perfect square: $(x + 5)^2$

$(x + 5)^2 = $ enter your next step here

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:
\((x + 5)^2 = x^2 + 2\times x\times5 + 5^2\)

Step3: Simplify the terms

Simplify \(2\times x\times5\) to \(10x\) and \(5^2\) to \(25\):
\((x + 5)^2 = x^2 + 10x + 25\)

Answer:

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