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Find the product. Simplify your answer. (4q-1)(2q+1)

Find the product. Simplify your answer.\newline(4q−1)(2q+1)(4q-1)(2q+1)

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Multiply two binomialsright chevron icon

Full solution

Q. Find the product. Simplify your answer.\newline(4q−1)(2q+1)(4q-1)(2q+1)
  1. Apply Distributive Property: Apply the distributive property to multiply the two binomials (4q−1)(4q-1) and (2q+1)(2q+1).(4q−1)(2q+1)=4q(2q)+4q(1)−1(2q)−1(1)(4q-1)(2q+1) = 4q(2q) + 4q(1) - 1(2q) - 1(1)
  2. Perform Multiplication: Perform the multiplication for each term.\newline4q(2q)=8q24q(2q) = 8q^2\newline4q(1)=4q4q(1) = 4q\newline−1(2q)=−2q-1(2q) = -2q\newline−1(1)=−1-1(1) = -1
  3. Combine Like Terms: Combine the like terms from the multiplication.\newline8q2+4q−2q−18q^2 + 4q - 2q - 1\newline8q2+(4q−2q)−18q^2 + (4q - 2q) - 1\newline8q2+2q−18q^2 + 2q - 1

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