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Find the product. Simplify your answer.

(4n-1)(4n+4)

Find the product. Simplify your answer.\newline(4n1)(4n+4) (4 n-1)(4 n+4)

Full solution

Q. Find the product. Simplify your answer.\newline(4n1)(4n+4) (4 n-1)(4 n+4)
  1. Apply Distributive Property: First, apply the distributive property (FOIL method) to expand the expression (4n1)(4n+4)(4n-1)(4n+4).\newlineCalculation: \newline(4n1)(4n+4)=4n(4n)+4n(4)1(4n)1(4)(4n-1)(4n+4) = 4n(4n) + 4n(4) - 1(4n) - 1(4)\newline=16n2+16n4n4= 16n^2 + 16n - 4n - 4
  2. Combine Like Terms: Next, combine like terms in the expression 16n2+16n4n416n^2 + 16n - 4n - 4.\newlineCalculation:\newline16n2+16n4n4=16n2+12n416n^2 + 16n - 4n - 4 = 16n^2 + 12n - 4

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