Question

rewrite without parentheses and simplify.
$(w + 4)^2$

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = w\) and \(b = 4\).

Step2: Apply the formula

Substitute \(a = w\) and \(b = 4\) into the formula:
\((w + 4)^2 = w^2 + 2\times w\times 4 + 4^2\)

Step3: Simplify the terms

Calculate \(2\times w\times 4 = 8w\) and \(4^2 = 16\). So we get:
\(w^2 + 8w + 16\)

Answer:

\(w^2 + 8w + 16\)