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Chapter 5: Problem 78

\(9 h\left(3 h^{2}-h+7\right)\)

Short Answer

Expert verified
27h^3 - 9h^2 + 63h

Step by step solution

01

- Distribute 9h

Multiply each term inside the parentheses by the factor outside. This can be written as: \[ 9h \times (3h^2) + 9h \times (-h) + 9h \times 7 \]
02

- Perform Multiplications

Simplify each product: \[ 9h \times 3h^2 = 27h^3 \] \[ 9h \times (-h) = -9h^2 \] \[ 9h \times 7 = 63h \]
03

- Combine the Results

Now add all the products together to get the final expression: \[ 27h^3 - 9h^2 + 63h \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

distributive property
The distributive property is a key concept in algebra that allows you to simplify expressions by multiplying a single term by each term within a parenthesis. This property states that for any numbers or algebraic expressions a, b, and c: The distributive property helps us break down more complicated expressions and solve them step-by-step. For example, in the exercise we have:

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