Simplify (x+7)^2

Problem

(x+7)2

Solution

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

2. Assign the values from the expression to the identity variables, where a=x and b=7

3. Expand the expression by substituting the values into the identity.

(x+7)2=x2+2*(x)*(7)+7

4. Simplify the terms by performing the multiplication and squaring the constant.

x2+14*x+49

Final Answer

(x+7)2=x2+14*x+49

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