Maxwell Fuentes
01/12/2023 · Middle School
Use the distributive property to remove the parentheses. \[ 4 z^{8}\left(7 z+10 z^{8}\right) \] Simplify your answer as much as possible.
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Step-by-step Solution
To use the distributive property to remove the parentheses in the expression \( 4 z^{8}(7 z + 10 z^{8}) \), we will distribute \( 4 z^{8} \) to both terms inside the parentheses.
1. Distribute \( 4 z^{8} \) to \( 7 z \):
\[
4 z^{8} \cdot 7 z = 28 z^{9}
\]
2. Distribute \( 4 z^{8} \) to \( 10 z^{8} \):
\[
4 z^{8} \cdot 10 z^{8} = 40 z^{16}
\]
Now, we combine the results from both distributions:
\[
28 z^{9} + 40 z^{16}
\]
Thus, the simplified expression is:
\[
40 z^{16} + 28 z^{9}
\]
Quick Answer
\[ 40 z^{16} + 28 z^{9} \]
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