Question
Simplify the expression. \( 7 a^{2}-15 a^{2}+18 a^{2} \) \( 7 a^{2}-15 a^{2}+18 a^{2}=\square \)
Ask by Deleon Parsons. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 7 a^{2} - 15 a^{2} + 18 a^{2} = 10 a^{2} \)
Solution
We combine the like terms by adding their coefficients:
\[
7 - 15 + 18 = 10
\]
Thus, the simplified expression is:
\[
7 a^{2} - 15 a^{2} + 18 a^{2} = 10 a^{2}
\]
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The Deep Dive
To simplify the expression \( 7 a^{2}-15 a^{2}+18 a^{2} \), you combine like terms. Start by adding and subtracting the coefficients: \[ 7 - 15 + 18 = -8 + 18 = 10. \] So, the simplified expression is: \[ 7 a^{2}-15 a^{2}+18 a^{2} = 10 a^{2}. \] Now, wasn't that a smooth ride through the land of coefficients?