Question
Rewrite without parentheses. \[ \left(9 c^{3} d^{6}-7 d^{5}\right)\left(-3 c^{2} d\right) \] Simplify your answer as much as possible. \( \square \)
Ask by Mitchell Page. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[ -27c^{5}d^{7} + 21c^{2}d^{6} \]
Solution
\[ -27\,c^{5}d^{7} + 21\,c^{2}d^{6} \]
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Simplify this solution
Mind Expander
To rewrite and simplify the expression, you multiply each term inside the first parentheses by the term outside. Start with: \( 9 c^{3} d^{6} \cdot -3 c^{2} d \) gives you: \( -27 c^{5} d^{7} \). Next, take: \( -7 d^{5} \cdot -3 c^{2} d \) gives you: \( 21 c^{2} d^{6} \). Now, combine both results: \( -27 c^{5} d^{7} + 21 c^{2} d^{6} \). So, the final simplified expression is: \(-27 c^{5} d^{7} + 21 c^{2} d^{6}\).