(-4a)(3abc)

Jasonbradley

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Jun 16, 2024

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Multiplying Monomials: (-4a)(3abc)

This article will guide you through multiplying the monomials (-4a) and (3abc).

Understanding Monomials

A monomial is a single term algebraic expression, consisting of a coefficient and one or more variables raised to non-negative integer exponents. For example, -4a, 3abc, and 5x²y are all monomials.

Multiplying Monomials

To multiply monomials, follow these simple steps:

1. Multiply the coefficients: In this case, we multiply -4 and 3, which gives us -12.
2. Multiply the variables: We multiply the variables together, combining like terms. Here, we have 'a' multiplied by 'a', 'b', and 'c', which results in 'a²bc'.

Applying the Rules to (-4a)(3abc)

Following the steps above:

1. Multiply the coefficients: (-4) * (3) = -12
2. Multiply the variables: (a) * (a) * (b) * (c) = a²bc

Therefore, the product of (-4a) and (3abc) is -12a²bc.

Key Points to Remember

• When multiplying monomials, you always multiply the coefficients and combine the variables by adding their exponents.
• The order of multiplication doesn't matter. You can multiply the coefficients first and then the variables, or vice versa.

By following these simple rules, you can confidently multiply any two monomials.