Question
Simplify the expression and combine like terms. \( 2 y^{2}-2 y^{3}-4 y^{2}+6 y^{3} \) \( 2 y^{2}-2 y^{3}-4 y^{2}+6 y^{3}=\square \)
Ask by Ford Knight. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 4 y^{3} - 2 y^{2} \)
Solution
We begin by combining like terms. The expression is
\[
2 y^{2} - 2 y^{3} - 4 y^{2} + 6 y^{3}.
\]
First, combine the \(y^2\) terms:
\[
2 y^{2} - 4 y^{2} = -2 y^{2}.
\]
Next, combine the \(y^3\) terms:
\[
-2 y^{3} + 6 y^{3} = 4 y^{3}.
\]
Thus, the expression simplifies to
\[
\boxed{4 y^{3} - 2 y^{2}}.
\]
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Simplify this solution The Deep Dive
To simplify the expression \( 2 y^{2}-2 y^{3}-4 y^{2}+6 y^{3} \), start by combining the like terms for \( y^2 \) and \( y^3 \). For \( y^2 \) terms: \( 2y^2 - 4y^2 = -2y^2 \) For \( y^3 \) terms: \( -2y^3 + 6y^3 = 4y^3 \) Now, combine the simplified terms: \( -2y^2 + 4y^3 \) Thus, the simplified expression is: \( 2 y^{2}-2 y^{3}-4 y^{2}+6 y^{3} = 4y^{3} - 2y^{2} \)
