Question

rewrite without parentheses and simplify. (y + 6)²

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = y\) and \(b = 6\).

Step2: Apply the formula

Substitute \(a = y\) and \(b = 6\) into the formula:
\((y + 6)^2 = y^2 + 2\times y\times6 + 6^2\)

Step3: Simplify the terms

Calculate \(2\times y\times6 = 12y\) and \(6^2 = 36\). So we get \(y^2 + 12y + 36\).

Answer:

\(y^2 + 12y + 36\)