Question

Write the expanded (general ) form of the product (x+3)(x+6)

Answer 1

The expanded form of the product (x+3)(x+6) is found using the FOIL method, resulting in x² + 9x + 18.

Step-by-step explanation:

Expanding the Product

To write the expanded form of the product (x+3)(x+6), you will use the distributive property, also known as the FOIL method, which stands for First, Outside, Inside, Last. Applying this method:

Multiply the First terms: x × x = x²

Multiply the Outside terms: x × 6 = 6x

Multiply the Inside terms: 3 × x = 3x

Multiply the Last terms: 3 × 6 = 18

Now, combine like terms (6x and 3x):

x² + 6x + 3x + 18

x² + 9x + 18

Thus, the expanded form of the product (x+3)(x+6) is x² + 9x + 18.