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Find the product. Simplify your answer. \newline(3b3)(4b2+4b+4)(3b - 3)(-4b^2 + 4b + 4)

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Q. Find the product. Simplify your answer. \newline(3b3)(4b2+4b+4)(3b - 3)(-4b^2 + 4b + 4)
  1. Distribute terms in polynomials: We need to distribute each term in the first polynomial 3b33b - 3 to each term in the second polynomial 4b2+4b+4-4b^2 + 4b + 4. This is done by multiplying each term in the first polynomial by each term in the second polynomial.
  2. Multiply terms in first polynomial: First, multiply 3b3b by 4b2-4b^2 to get 12b3-12b^3.
  3. Combine like terms: Next, multiply 3b3b by 4b4b to get 12b212b^2.
  4. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b.
  5. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b.Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2.
  6. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b.Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2.Next, multiply 3-3 by 4b4b to get 12b-12b.
  7. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b. Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2. Next, multiply 3-3 by 4b4b to get 12b-12b. Finally, multiply 3-3 by 44 to get 4411.
  8. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b.Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2.Next, multiply 3-3 by 4b4b to get 12b-12b.Finally, multiply 3-3 by 44 to get 4411.Now, we combine like terms. The terms 4422 and 12b212b^2 from the first multiplication, 12b212b^2 and 12b-12b from the second multiplication, and 4411 from the third multiplication.
  9. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b. Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2. Next, multiply 3-3 by 4b4b to get 12b-12b. Finally, multiply 3-3 by 44 to get 4411. Now, we combine like terms. The terms 4422 and 12b212b^2 from the first multiplication, 12b212b^2 and 12b-12b from the second multiplication, and 4411 from the third multiplication. Adding the like terms, we get 4477.
  10. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b.Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2.Next, multiply 3-3 by 4b4b to get 12b-12b.Finally, multiply 3-3 by 44 to get 4411.Now, we combine like terms. The terms 4422 and 12b212b^2 from the first multiplication, 12b212b^2 and 12b-12b from the second multiplication, and 4411 from the third multiplication.Adding the like terms, we get 4477.Simplify the expression to get 4488.
  11. Simplify the expression: Then, multiply 3b3b by 44 to get 12b12b.Now, multiply 3-3 by 4b2-4b^2 to get 12b212b^2.Next, multiply 3-3 by 4b4b to get 12b-12b.Finally, multiply 3-3 by 44 to get 4411.Now, we combine like terms. The terms 4422 and 12b212b^2 from the first multiplication, 12b212b^2 and 12b-12b from the second multiplication, and 4411 from the third multiplication.Adding the like terms, we get 4477.Simplify the expression to get 4488.Since 4499 is zero, it can be removed from the expression, leaving us with 12b12b00.

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