Question

rewrite without parentheses and simplify.
$(x + 6)^2$

Explanation:

Step1: Recall the formula for squaring a binomial

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

Step2: Apply the formula

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

Step3: Simplify the terms

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

Answer:

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