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Find the product. Simplify your answer.\newline(y+4)(4y2−4y+3)(y + 4)(4y^2 - 4y + 3)

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Full solution

Q. Find the product. Simplify your answer.\newline(y+4)(4y2−4y+3)(y + 4)(4y^2 - 4y + 3)
  1. Perform Multiplication: Now we will perform the multiplication for each pair of terms.\newliney(4y2)=4y3y(4y^2) = 4y^3\newliney(−4y)=−4y2y(-4y) = -4y^2\newliney(3)=3yy(3) = 3y\newline4(4y2)=16y24(4y^2) = 16y^2\newline4(−4y)=−16y4(-4y) = -16y\newline4(3)=124(3) = 12
  2. Combine Like Terms: Next, we will combine like terms from the results of the multiplication. 4y3+(−4y2)+3y+16y2+(−16y)+124y^3 + (-4y^2) + 3y + 16y^2 + (-16y) + 12
  3. Final Simplified Expression: Combining like terms, we get:\newline4y3+(−4y2+16y2)+(3y−16y)+124y^3 + (-4y^2 + 16y^2) + (3y - 16y) + 12\newline4y3+12y2−13y+124y^3 + 12y^2 - 13y + 12

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