Multiplication

Examples

Example 1 Multiply & write in simplest form.

4x(3x² - 7)

Step 1. Apply the Distributive Property

(4x)(3x²) + (4x)(-7)

Step 2. Combine like terms if needed & write in standard form.

12x³ - 28x

Example 2 Multiply & write in simplest form.

-7y(4y² - 2y + 1)

Step 1. Apply the Distributive Property

(-7y)(4y²) + (-7y)(-2y) + (-7y)(1)

Step 2. Combine like terms if needed & write in standard form.

-28y³ + 14y² - 7y

Example 3 Multiply & write in simplest form.

2x³(3x⁴ + 2x³ - 10x² + 7x + 9)

Step 1. Apply the Distributive Property

(2x³)(3x⁴) + (2x³)(2x³) + (2x³) (-10x²) + (2x³)(7x) + (2x³)(9)

Step 2. Combine like terms if needed & write in standard form.

6x⁷ + 4x⁶ - 20x⁵ + 14x⁴ + 18x³