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Expand the expression $(x+4)^2$.

AlgebraAlgebraic ExpansionBinomial TheoremPolynomials
2025/4/27

1. Problem Description

Expand the expression (x+4)2(x+4)^2.

2. Solution Steps

We can expand the given expression using the binomial formula:
(a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2
In our case, a=xa = x and b=4b = 4.
So, (x+4)2=x2+2(x)(4)+42(x+4)^2 = x^2 + 2(x)(4) + 4^2
(x+4)2=x2+8x+16(x+4)^2 = x^2 + 8x + 16

3. Final Answer

x2+8x+16x^2 + 8x + 16

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