Multiply (x+6)^2

Problem

(x+6)2

Solution

1. Identify the expression as a square of a binomial, which follows the 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+6)*(x+6)

3. Apply the FOIL method (First, Outer, Inner, Last) to multiply the terms.

x⋅x+x⋅6+6⋅x+6⋅6

4. Simplify each term in the resulting expression.

x2+6*x+6*x+36

5. Combine the like terms 6*x and 6*x

x2+12*x+36

Final Answer

(x+6)2=x2+12*x+36

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