Multiply (x+3)^2

Problem

(x+3)2

Solution

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

2. Assign the values a=x and b=3 to the terms in the pattern.

3. Expand the expression by squaring the first term, doubling the product of the two terms, and squaring the last term.

x2+2*(x)*(3)+3

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

x2+6*x+9

Final Answer

(x+3)2=x2+6*x+9

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