Multiply (x+5)^2

Problem

(x+5)2

Solution

1. Identify the expression as a binomial squared, 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+5)*(x+5)

3. Apply the FOIL method (First, Outer, Inner, Last) to multiply the terms: x⋅x+x⋅5+5⋅x+5⋅5

4. Multiply the individual terms to get x2+5*x+5*x+25

5. Combine the like terms 5*x and 5*x to simplify the expression.

Final Answer

(x+5)2=x2+10*x+25

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