Peterson Sanders
04/12/2023 · Senior High School
Simplify the expression and combine like terms \( 4 y^{2}-5 y^{3}-7 y^{2}+7 y^{3} \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( 4 y^{2} - 5 y^{3} - 7 y^{2} + 7 y^{3} \), we can combine like terms.
First, let's group the \( y^2 \) terms and the \( y^3 \) terms:
1. Combine the \( y^2 \) terms:
\[
4y^2 - 7y^2 = (4 - 7)y^2 = -3y^2
\]
2. Combine the \( y^3 \) terms:
\[
-5y^3 + 7y^3 = (-5 + 7)y^3 = 2y^3
\]
Now, we can write the simplified expression by combining the results from the two steps:
\[
-3y^2 + 2y^3
\]
Thus, the simplified expression is:
\[
2y^3 - 3y^2
\]
Quick Answer
\( 2y^3 - 3y^2 \)
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