Question

weeklyquiz - 11 5.6 - 5.7: problem 1
(1 point)
expand the expression $(x + 4)^2$ and combine like terms. simplify your answer as much as possible.
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Explanation:

Step1: Apply the formula \((a + b)^2=a^2 + 2ab+b^2\)

Here \(a = x\) and \(b = 4\). So \((x + 4)^2=x^2+2\times x\times4 + 4^2\)

Step2: Calculate each term

\(2\times x\times4=8x\) and \(4^2 = 16\). Then \(x^2+2\times x\times4 + 4^2=x^2+8x + 16\)

Answer:

\(x^2+8x + 16\)