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Answer :
Final answer:
To simplify the expression (4x - 3)(3x² - 4x - 3), use the distributive property by multiplying each term in the first parentheses by each term in the second parentheses. Then, combine like terms to get the final simplification, which is 12x³ - 25x² - 9.
Explanation:
To simplify expression (4x - 3)(3x² - 4x - 3), we can use the distributive property. This means that we multiply each term in the first parentheses by each term in the second parentheses.
Using the distributive property:
- (4x)(3x²) = 12x³
- (4x)(-4x) = -16x²
- (4x)(-3) = -12x
- (-3)(3x²) = -9x²
- (-3)(-4x) = 12x
- (-3)(-3) = 9
Combining like terms:
- 12x³ - 16x² - 12x - 9x² + 12x + 9
Simplifying further:
- 12x³ - 25x² - 9
Therefore, the correct simplification of (4x - 3)(3x² - 4x - 3) is 12x³ - 25x² - 9.
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