Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer.\newline4j(4j2+6)-4j(-4j^2 + 6)

Full solution

Q. Find the product. Simplify your answer.\newline4j(4j2+6)-4j(-4j^2 + 6)
  1. Distribute 4j-4j: Distribute 4j-4j to each term inside the parentheses.\newlineWe need to apply the distributive property, which states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we distribute 4j-4j to both 4j2-4j^2 and +6+6.\newline4j(4j2+6)=4j(4j2)+4j(6)-4j(-4j^2 + 6) = -4j(-4j^2) + -4j(6)
  2. Simplify 4j(4j2)-4j(-4j^2): Simplify 4j(4j2)-4j(-4j^2). We multiply 4j-4j by 4j2-4j^2. Remember that when multiplying powers with the same base, we add the exponents. 4j(4j2)=16j3-4j(-4j^2) = 16j^3
  3. Simplify 4j(6)-4j(6): Simplify 4j(6)-4j(6). We multiply 4j-4j by 66. Since there are no like terms, we simply multiply the coefficients. 4j(6)=24j-4j(6) = -24j
  4. Combine results: Combine the results from Step 22 and Step 33.\newlineWe have found the products of each term, now we combine them to get the final simplified expression.\newline\(-4j(4-4j^22 + 66) = 1616j^33 - 2424j"}

More problems from Multiply polynomials