Question
Use the distributive property to write an equivalent expression. \[ 7(3 n-4 p+6) \]
Ask by Simpson Pollard. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Multiply 7 by each term inside the parentheses to get \( 21n - 28p + 42 \).
Solution
To apply the distributive property to the expression \( 7(3n - 4p + 6) \), you multiply the 7 by each term inside the parentheses individually.
\[
\begin{align*}
7(3n - 4p + 6) &= 7 \cdot 3n + 7 \cdot (-4p) + 7 \cdot 6 \\
&= 21n - 28p + 42
\end{align*}
\]
**Equivalent Expression:**
\[
21n - 28p + 42
\]
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Simplify this solution Bonus Knowledge
To use the distributive property, you multiply each term inside the parentheses by the factor outside. So, for the expression \( 7(3n - 4p + 6) \), you'll distribute \( 7 \) to each term: \[ 7 \times 3n = 21n \] \[ 7 \times -4p = -28p \] \[ 7 \times 6 = 42 \] Now combine these results together to get the equivalent expression: \[ 21n - 28p + 42 \] Now you have a clean and simplified expression!
