How to Apply the Distributive Property in Algebra

What is the distributive property in algebra?

The distributive property in algebra is a fundamental rule that allows us to multiply a single term by two or more terms inside a set of parentheses.

Answer:

Applying the distributive property, the product of (-2x - 9y²)(-4x - 3) is: 8x² + 6x + 36xy² + 27y².

The distributive property is a key concept in algebra that helps us simplify expressions by distributing a term to each term within the parentheses. In the case of multiplying (-2x - 9y²) by (-4x - 3), we apply the distributive property as follows:

How to Apply the Distributive Property?

To find the product of (-2x - 9y²)(-4x - 3), we multiply each term in (-4x - 3) by every term in (-2x - 9y²):

-2x(-4x - 3) - 9y²(-4x - 3)

8x² + 6x + 36xy² + 27y²

Therefore, the product of (-2x - 9y²)(-4x - 3) simplifies to 8x² + 6x + 36xy² + 27y².

For further understanding of the distributive property and how it's applied in algebra, you can explore more resources on the topic.