Simplify (x+h)^2

Problem

(x+h)2

Solution

1. Identify the expression as a binomial squared, which follows the algebraic pattern (a+b)2=a2+2*a*b+b2

2. Expand the expression by multiplying the binomial by itself: (x+h)*(x+h)

3. Distribute each term in the first set of parentheses by each term in the second set of parentheses using the FOIL method (First, Outer, Inner, Last).

4. Multiply the terms to get x2+x*h+h*x+h2

5. Combine the like terms x*h and h*x to get 2*x*h

Final Answer

(x+h)2=x2+2*x*h+h2

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