Question

Multiply each expression. $$ -4 a\left(3 a^{2}-4\right) $$

   Multiply each expression.
$$
-4 a\left(3 a^{2}-4\right)
$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Elayn Martin-Gay 4th Edition

Chapter 5, Problem 60

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Solved by Expert Jeyasree R T

03/21/2020

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Step 1: We are given the expression $$-4 a\left(3 a^{2}-4\right)$$ and we need to multiply it out. Show more…

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Multiply each expression. $$ -4 a\left(3 a^{2}-4\right) $$

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Key Concepts

Distributive Property

The distributive property allows one to multiply a single term by each term inside a parenthesis. It states that a(b + c) equals ab + ac, and is essential for simplifying expressions involving multiplication over addition or subtraction.

Exponent Rules

The exponent rules are crucial when multiplying terms with the same base. Specifically, when multiplying a^m by a^n, you add the exponents to get a^(m+n). This rule allows for accurate simplification of expressions involving powers.

Multiplying Monomials

Multiplying monomials involves multiplying their numerical coefficients and their variables. When multiplying the variables, the exponents are handled according to exponent rules, making it straightforward to simplify expressions with one or more variables.

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