Rogers Whittaker
05/18/2023 · Junior High School
Use the distributive property to remove the parentheses. \( -3\left(-3 v^{2}+4-2 u^{3}\right) \)
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Step-by-step Solution
To use the distributive property to remove the parentheses in the expression \( -3\left(-3 v^{2}+4-2 u^{3}\right) \), we will multiply each term inside the parentheses by \(-3\).
1. Multiply \(-3\) by \(-3 v^{2}\):
\[
-3 \cdot -3 v^{2} = 9 v^{2}
\]
2. Multiply \(-3\) by \(4\):
\[
-3 \cdot 4 = -12
\]
3. Multiply \(-3\) by \(-2 u^{3}\):
\[
-3 \cdot -2 u^{3} = 6 u^{3}
\]
Now, combine all the results:
\[
9 v^{2} - 12 + 6 u^{3}
\]
Thus, the expression without parentheses is:
\[
9 v^{2} + 6 u^{3} - 12
\]
Quick Answer
The expression without parentheses is \( 9 v^{2} + 6 u^{3} - 12 \).
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