Question

rewrite without parentheses and simplify.
(3w + 4)²

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 3w\) and \(b = 4\).

Step2: Substitute \(a\) and \(b\) into the formula

First, calculate \(a^2\): \((3w)^2 = 9w^2\).
Then, calculate \(2ab\): \(2\times(3w)\times4 = 24w\).
Next, calculate \(b^2\): \(4^2 = 16\).

Step3: Combine the terms

Add the three terms together: \(9w^2 + 24w + 16\).

Answer:

\(9w^2 + 24w + 16\)