Question
Combine any like terms in the expression. If there are no like terms, rewrite the expression. \( 36 a^{3} b^{3}+25 a^{3} b^{3}+23 a^{3} b^{3}-27 a^{3} b^{3} \) Submit
Ask by Joseph Watkins. in the United States
Mar 07,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Combine the coefficients of \( a^{3} b^{3} \):
\[
36 + 25 + 23 - 27 = 57
\]
So, the simplified expression is:
\[
57 a^{3} b^{3}
\]
Solution
We start with the expression:
\[
36 a^{3} b^{3}+25 a^{3} b^{3}+23 a^{3} b^{3}-27 a^{3} b^{3}
\]
Since all terms contain the factor \(a^{3} b^{3}\), we can factor it out:
\[
a^{3} b^{3} \left(36+25+23-27\right)
\]
Now, combine the coefficients inside the parentheses:
\[
36+25=61
\]
\[
61+23=84
\]
\[
84-27=57
\]
Thus, the expression simplifies to:
\[
57 a^{3} b^{3}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
First, let's combine the coefficients of the like terms in the expression. We have \(36 + 25 + 23 - 27\), which equals \(57\). Therefore, the expression simplifies to \(57 a^{3} b^{3}\).
