Simplify (8x+4)^2

Problem

(8*x+4)^2

Solution

1. Identify the expression as a square of a binomial in the form (a+b)^2

2. Apply the formula for the square of a binomial, which is (a+b)^2=a^2+2*a*b+b^2

3. Substitute a=8*x and b=4 into the formula.

4. Square the first term to get (8*x)^2=64*x^2

5. Calculate the middle term by multiplying $2(8x)(4) = 64x$.

6. Square the last term to get 4^2=16

7. Combine the terms into a single polynomial.

Final Answer

(8*x+4)^2=64*x^2+64*x+16

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