Question

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

Explanation:

Step1: Recall the formula for squaring a binomial

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

Step2: Apply the formula

First, calculate \(a^2=(4y)^2 = 16y^2\).
Then, calculate \(2ab = 2\times(4y)\times(2)=16y\).
Next, calculate \(b^2 = 2^2 = 4\).

Step3: Combine the terms

Add the three terms together: \(16y^2+16y + 4\).

Answer:

\(16y^2 + 16y + 4\)