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Find the product. Simplify your answer. \newline−2j(−4j2+5)-2j(-4j^2 + 5)

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Full solution

Q. Find the product. Simplify your answer. \newline−2j(−4j2+5)-2j(-4j^2 + 5)
  1. Distribute −2j-2j: We need to distribute −2j-2j to both terms inside the parentheses: −4j2-4j^2 and +5+5.\newline−2j(−4j2+5)=−2j(−4j2)+−2j(5)-2j(-4j^2 + 5) = -2j(-4j^2) + -2j(5)
  2. Simplify −4j2-4j^2: Now, simplify −2j(−4j2)-2j(-4j^2).−2j(−4j2)=(−2×−4)×(j×j2)=8j3-2j(-4j^2) = (-2 \times -4) \times (j \times j^2) = 8j^3
  3. Simplify −2j(5)-2j(5): Next, simplify −2j(5)-2j(5).\newline−2j(5)=−2×5×j=−10j-2j(5) = -2 \times 5 \times j = -10j
  4. Combine results: Combine the results from the previous steps to get the final simplified expression.\newline−2j(−4j2+5)=8j3−10j-2j(-4j^2 + 5) = 8j^3 - 10j

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