Question

Multiply the expressions. $$6 w^{2}(7 w-14)$$

   Multiply the expressions.
$$6 w^{2}(7 w-14)$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 5, Problem 105

Instant Answer

Solved by Expert Julie Silva

03/24/2021

Step 1

This gives us $6 w^{2} \cdot 7 w$ and $6 w^{2} \cdot -14$. Show more…

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Multiply the expressions. $$6 w^{2}(7 w-14)$$

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Key Concepts

Distributive Property

The distributive property allows a term outside parentheses to be multiplied with each term inside the parentheses. This fundamental concept is crucial for expanding expressions, such as turning a(b + c) into ab + ac, and is widely applicable in algebra when simplifying expressions.

Multiplication of Variables with Exponents

When multiplying expressions with variables that have exponents, the rules of exponents are applied. Specifically, for the same base, the exponents are added together (e.g., w^2 multiplied by w results in w^(2+1)). This technique is vital for correctly simplifying and combining like terms in polynomial expressions.

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