Expanding the Expression (5x+3)(x2)
This article will guide you through the steps of expanding the expression (5x+3)(x2). This process is often referred to as multiplying binomials.
Understanding the Concept
When we multiply binomials, we are essentially applying the distributive property twice. The distributive property states that multiplying a sum by a number is the same as multiplying each term of the sum by that number.
StepbyStep Solution

Distribute the first term of the first binomial:
 Multiply 5x by both terms in the second binomial:
 5x * x = 5x²
 5x * 2 = 10x
 Multiply 5x by both terms in the second binomial:

Distribute the second term of the first binomial:
 Multiply 3 by both terms in the second binomial:
 3 * x = 3x
 3 * 2 = 6
 Multiply 3 by both terms in the second binomial:

Combine the terms:
 The expanded expression is: 5x²  10x + 3x  6

Simplify by combining like terms:
 5x²  7x  6
Final Result
Therefore, the expanded form of (5x+3)(x2) is 5x²  7x  6.
Key Takeaways
 Multiplying binomials involves applying the distributive property twice.
 Each term in the first binomial must be multiplied by each term in the second binomial.
 Combine like terms after the multiplication to simplify the expression.