Step-by-step explanation:
FOIL stands for First Outside Inside Last
(
x
+
7
)
2
This can be rewritten as:
(
x
+
7
)
(
x
+
7
)
Multiply the first terms in each expression.
(
x
+
7
)
(
x
+
7
)
x
⋅
x
=
x
2
Now we move to outside . multiply the outside terms of each expression.
(
x
2
+
7
)
(
x
2
+
7
)
x
2
⋅
7
=
7
x
2
Next up are the inside terms. Multiply these from each expression.
(
x
2
+
(
7
)
)
(
x
2
+
7
)
7
⋅
x
2
=
7
x
2
Finally, we have the last terms. Multiply the last terms from each expression.
(
x
2
+
7
)
(
x
2
+
7
)
7
⋅
7
=
49
Now combine all of the solutions that we have come up with.
x
2
+
7
x
2
+
7
x
2
+
49
Combine the like terms in between.
x
2
+
14
x
+
49
