The correct expression that is the equivalent of (2x - 3)² - 3.5x²(2x - 5) + 6x(2.5x² - x + 3.1) is; Option B; 8x³ + 15.5x² + 6.6x + 9
We are given the expression;
(2x - 3)² - 3.5x²(2x - 5) + 6x(2.5x² - x + 3.1)
Expanding the expression with the use of distributive property, we have;
4x² - 6x - 6x + 9 - 7x³ + 17.5x² + 15x³ - 6x² + 18.6x
Let us rearrange with like terms together to get;
15x³ - 7x³ + 17.5x² - 6x² + 4x² - 12x + 6.6x
⇒ 8x³ + 15.5x² + 6.6x + 9
In conclusion, the correct expression that is the equivalent of (2x - 3)² - 3.5x²(2x - 5) + 6x(2.5x² - x + 3.1) is; Option B; 8x³ + 15.5x² + 6.6x + 9
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