Multiply (x+4)^2

Problem

(x+4)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+4)*(x+4)

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

4. Multiply the First terms: x⋅x=x2

5. Multiply the Outer terms: x⋅4=4*x

6. Multiply the Inner terms: 4⋅x=4*x

7. Multiply the Last terms: 4⋅4=16

8. Combine the like terms 4*x and 4*x to get 8*x

Final Answer

(x+4)2=x2+8*x+16

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