Question

rewrite without parentheses and simplify. (7 + x)^2

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 7\) and \(b = x\).

Step2: Apply the formula

Substitute \(a = 7\) and \(b = x\) into the formula:
\((7 + x)^2 = 7^2 + 2\times7\times x + x^2\)

Step3: Simplify the terms

Calculate \(7^2 = 49\) and \(2\times7\times x = 14x\). So we get \(49 + 14x + x^2\), which can also be written as \(x^2 + 14x + 49\).

Answer:

\(x^2 + 14x + 49\)