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Answer :
Final answer:
To find the product of (4x3+2x2)(6x−9), distribute the terms and combine like terms to simplify the expression.
Explanation:
To find the product of (4x^3 + 2x^2)(6x - 9), you'll need to use the distributive property to multiply each term in the first expression by each term in the second expression and then combine like terms. Let's do that step by step:
(4x^3 + 2x^2)(6x - 9)
Now, multiply each term in the first expression by each term in the second expression:
= 4x^3 * 6x + 4x^3 * (-9) + 2x^2 * 6x + 2x^2 * (-9)
= 24x^4 - 36x^3 + 12x^3 - 18x^2
Now, combine like terms:
= 24x^4 - 24x^3 - 18x^2
So, the product (4x^3 + 2x^2)(6x - 9) simplifies to 24x^4 - 24x^3 - 18x^2, which is in descending order of exponents.
The correct answer is (24x^4 - 24x^3 - 18x^2).
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