1. F=First O=Outside I=Inside L=Last
Foil Method
F=First
O=Outside
I=Inside
L=Last

2. (x+7)(x+4)
First= multiply the first terms in each binomial.(highlighted in blue) x2

3. (x+7)(x+4)
Outside= multiply the the first term in the first binomial by the last term in the second binomial. (the two terms that are farthest apart) 4x

4. (x+7)(x+4)
Inside= multiply the last term in the first binomial by the first term in the second binomial.( the terms that are closest together) 7x

5. (x+7)(x+4)
Last= multiply the last terms in each binomial. (highlighted in red) 28

6. (x+7)(x+4)
Answer:
x2+4x+7x+28
Combine like terms
x2+11x+28

7. (x+7)(x+4)
First= multiply the first terms in each binomial.(highlighted in blue) x2
Outside= multiply the the first term in the first binomial by the last term in the second binomial. (the two terms that are farthest apart) 4x
Inside= multiply the last term in the first binomial by the first term in the second binomial.( the terms that are closest together) 7x
Last= multiply the last terms in each binomial. (highlighted in red) 28
Answer:
x2+4x+7x+28
Combine like terms
x2+11x+28