1. Find the product of (x + 5) and (x + 2).
Solution: Using the FOIL Method
First term: x • x = x²
Outer Term: x • 2 = 2x
Inner Term: 5 • x = 5x
Last term: 5 • 2 = 10
Combine like terms: 2x + 5x = 7x
Answer: x² + 7x + 10
2. Find the product of (a - 4) and (a + 3).
First term: a • a = a²
Outer Term: a • 3 = 3a
Inner Term: -4 • a = -4a
Last term: -4 • 3 = -12
Combine like terms: 3a + (-4a) = -a
Answer: a² - a - 12
