Problem 78
Question
\(9 h\left(3 h^{2}-h+7\right)\)
Step-by-Step Solution
Verified Answer
27h^3 - 9h^2 + 63h
1Step 1 - Distribute 9h
Multiply each term inside the parentheses by the factor outside. This can be written as: \[ 9h \times (3h^2) + 9h \times (-h) + 9h \times 7 \]
2Step 2 - Perform Multiplications
Simplify each product: \[ 9h \times 3h^2 = 27h^3 \] \[ 9h \times (-h) = -9h^2 \] \[ 9h \times 7 = 63h \]
3Step 3 - Combine the Results
Now add all the products together to get the final expression: \[ 27h^3 - 9h^2 + 63h \]
Key Concepts
distributive property
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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