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Answer
The expression simplifies to \( 17y^6 + y^2 + 12y \).
Solution
First, identify which terms have the same power of y. Notice that 9y⁶ and 8y⁶ are both y⁶ terms. Combine them:
9y⁶ + 8y⁶ = 17y⁶
The remaining terms, 12y and y², do not have any like terms, so they remain as they are.
Thus, the expression simplifies to:
17y⁶ + y² + 12y.
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Simplify this solution Extra Insights
To simplify the expression \( 12y + 9y^6 + y^2 + 8y^6 \), let's first combine like terms. Here, the like terms are the ones with the same exponent of \( y \). So, we have: - For \( y^6 \): \( 9y^6 + 8y^6 = 17y^6 \) - For \( y^1 \): \( 12y \) remains as it is. - For \( y^2 \): \( y^2 \) also remains as it is. Now, combining these terms gives us: \[ 12y + y^2 + 17y^6 \] Therefore, the simplified expression is \( 17y^6 + y^2 + 12y \).
