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Find the product. Simplify your answer.

(4y+1)(y-1)

Find the product. Simplify your answer.\newline(4y+1)(y1) (4 y+1)(y-1)

Full solution

Q. Find the product. Simplify your answer.\newline(4y+1)(y1) (4 y+1)(y-1)
  1. Distribute terms: Distribute each term in (4y+1)(4y+1) to each term in (y1)(y-1).(4y+1)(y1)=4y(y)+4y(1)+1(y)+1(1)(4y+1)(y-1) = 4y(y) + 4y(-1) + 1(y) + 1(-1)
  2. Perform multiplication: Perform the multiplication for each term.\newline4y(y)=4y24y(y) = 4y^2, 4y(1)=4y4y(-1) = -4y, 1(y)=y1(y) = y, 1(1)=11(-1) = -1\newlineCombine all terms: 4y24y+y14y^2 - 4y + y - 1
  3. Combine terms: Simplify by combining like terms. \newline4y24y+y1=4y23y14y^2 - 4y + y - 1 = 4y^2 - 3y - 1

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