Expanding the Expression (7a + 2)(2a²  5a + 3)
This article will guide you through the process of expanding the expression (7a + 2)(2a²  5a + 3).
Understanding the Concept
Expanding an expression like this involves multiplying each term in the first set of parentheses by each term in the second set of parentheses. This is commonly referred to as the distributive property.
The Steps

Distribute the first term of the first set of parentheses:
 Multiply 7a by each term in the second set:
 7a * 2a² = 14a³
 7a * 5a = 35a²
 7a * 3 = 21a
 Multiply 7a by each term in the second set:

Distribute the second term of the first set of parentheses:
 Multiply 2 by each term in the second set:
 2 * 2a² = 4a²
 2 * 5a = 10a
 2 * 3 = 6
 Multiply 2 by each term in the second set:

Combine the results:
 14a³  35a² + 21a + 4a²  10a + 6

Simplify by combining like terms:
 14a³  31a² + 11a + 6
The Expanded Form
Therefore, the expanded form of (7a + 2)(2a²  5a + 3) is 14a³  31a² + 11a + 6.
Conclusion
Expanding expressions like this is a fundamental skill in algebra. Understanding the distributive property and following the steps outlined above will help you confidently expand any similar expression.