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Find the product. Simplify your answer.\newline5(4f28)-5(4f^2 - 8)

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Q. Find the product. Simplify your answer.\newline5(4f28)-5(4f^2 - 8)
  1. Distribute 5-5: Distribute 5-5 to each term inside the parentheses.\newlineWe need to multiply 5-5 by 4f24f^2 and then by 8-8.\newline5(4f28)=5×4f2(5×8)-5(4f^2 - 8) = -5 \times 4f^2 - (-5 \times 8)
  2. Multiply 5-5 by 4f24f^2: Multiply 5-5 by 4f24f^2. To find the product of 5-5 and 4f24f^2, we multiply the coefficients and keep the variable part as it is. 5×4f2=20f2-5 \times 4f^2 = -20f^2
  3. Multiply 5-5 by 8-8: Multiply 5-5 by 8-8.\newlineMultiplying two negative numbers gives a positive result.\newline5×8=40-5 \times -8 = 40
  4. Combine results: Combine the results from Step 22 and Step 33.\newlineNow we add the two products we found.\newline20f2+40-20f^2 + 40

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