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Find the product. Simplify your answer. (z+4)(4z+1)

Find the product. Simplify your answer.\newline(z+4)(4z+1) (z+4)(4 z+1)

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Full solution

Q. Find the product. Simplify your answer.\newline(z+4)(4z+1) (z+4)(4 z+1)
  1. Distribute terms: Distribute each term in (z+4)(z+4) to each term in (4z+1)(4z+1).\newlineCalculation: \newline(z+4)(4z+1)=z(4z)+z(1)+4(4z)+4(1)(z+4)(4z+1) = z(4z) + z(1) + 4(4z) + 4(1)\newline=4z2+z+16z+4= 4z^2 + z + 16z + 4
  2. Combine like terms: Combine like terms.\newlineCalculation:\newline4z2+z+16z+44z^2 + z + 16z + 4\newline= 4z2+17z+44z^2 + 17z + 4

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