Q. Find the product. Simplify your answer.−4j(−4j2+6)
Distribute −4j: Distribute −4j to each term inside the parentheses.We need to apply the distributive property, which states that a(b+c)=ab+ac. In this case, we distribute −4j to both −4j2 and +6.−4j(−4j2+6)=−4j(−4j2)+−4j(6)
Simplify −4j(−4j2): Simplify −4j(−4j2). We multiply −4j by −4j2. Remember that when multiplying powers with the same base, we add the exponents. −4j(−4j2)=16j3
Simplify −4j(6): Simplify −4j(6). We multiply −4j by 6. Since there are no like terms, we simply multiply the coefficients. −4j(6)=−24j
Combine results: Combine the results from Step 2 and Step 3.We have found the products of each term, now we combine them to get the final simplified expression.\(-4j(−4j^2 + 6) = 16j^3 - 24j"}