Simplify (2x+1)^2

Problem

(2*x+1)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=a2+2*a*b+b2

3. Substitute a=2*x and b=1 into the formula.

4. Expand the terms to get (2*x)2+2*(2*x)*(1)+(1)2

5. Simplify each term to arrive at the final polynomial.

Final Answer

(2*x+1)2=4*x2+4*x+1

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