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

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Full solution

Q. Find the product. Simplify your answer.\newline(−4y)(2y2)(-4y)(2y^2)
  1. Identify Expression: Identify the expression to be simplified.\newlineWe need to multiply (−4y)(-4y) by (2y2)(2y^2).
  2. Apply Distributive Property: Apply the distributive property to multiply the two terms.\newline(−4y)(2y2)=−4×y×2×y2(-4y)(2y^2) = -4 \times y \times 2 \times y^2
  3. Multiply Coefficients and Variables: Multiply the coefficients and the variables separately.\newline−4×2=−8-4 \times 2 = -8\newliney×y2=y(1+2)=y3y \times y^2 = y^{(1+2)} = y^3
  4. Combine Results: Combine the results to get the final product.\newline−8×y3=−8y3-8 \times y^3 = -8y^3

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