Question

multiply
$(x + 7)^2$
$(x + 7)^2 = \square$ (simplify your answer.)

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 \(b = 7\).

Step2: Apply the formula

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

Step3: Simplify the terms

Simplify \(2\times x\times7\) to \(14x\) and \(7^2\) to \(49\). So we get \(x^2 + 14x + 49\).

Answer:

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