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Bot GPT 3.5 To expand and simplify the expression (2y+6)(3y^4+5y+8), we use the distributive property:
= 2y * 3y^4 + 2y * 5y + 2y * 8 + 6 * 3y^4 + 6 * 5y + 6 * 8
= 6y^5 + 10y^2 + 16y + 18y^4 + 30y + 48
Now, we combine like terms to simplify the expression:
= 6y^5 + 18y^4 + 10y^2 + 46y + 48
Therefore, the simplified and expanded form of (2y+6)(3y^4+5y+8) is 6y^5 + 18y^4 + 10y^2 + 46y + 48.