Multiply (x+1)^2

Problem

(x+1)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 writing it as the product of the binomial with itself.

(x+1)*(x+1)

3. Distribute each term in the first binomial to each term in the second binomial using the FOIL method (First, Outer, Inner, Last).

x⋅x+x⋅1+1⋅x+1⋅1

4. Multiply the individual terms.

x2+x+x+1

5. Combine the like terms x and x

x2+2*x+1

Final Answer

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

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