Question

How do you expand the expression "as a product of factors"?

Answer 1

To expand an expression as a product of factors, you need to break down the expression into individual factors by identifying common factors and prime factors. Combine these factors to express the expression as a product of factors.

Step-by-step explanation:

Expanding an expression as a product of factors involves breaking down the expression into its individual factors. To do this, you need to identify any common factors or patterns within the expression. Here is a step-by-step process:

1. Identify any common factors between the terms of the expression.
2. Break down each term into its prime factors.
3. Combine the common factors and prime factors to express the expression as a product of factors.

For example, let's expand the expression 6x2 + 9xy:

Step 1: The common factor between 6x2 and 9xy is 3x.

Step 2: Breaking down each term into prime factors: 6x2 = 2 * 3 * x * x, 9xy = 3 * 3 * x * y.

Step 3: Combining the common and prime factors: 6x2 + 9xy = 3x * (2 * x) + 3 * 3 * x * y = 3x(2x + 3y).