Question

When subtracting 3x² + 4x + 9 from 15x² + 6x − 12, which TWO choices are correct? A) Write the problem as 3x² + 4x + 9 − (15x² + 6x − 12). B) Write the problem as 15x² + 6x − 12 − (3x² + 4x + 9). C) The difference is −12x² − 2x + 3. D) The difference is 12x² + 10x − 3. E) The difference is 12x² + 2x − 21.

Answer 1

The correct choices for subtracting 3x² + 4x + 9 from 15x² + 6x - 12 are A) Write the problem as 3x² + 4x + 9 - (15x² + 6x - 12) and D) The difference is 12x² + 10x - 3.

Step-by-step explanation:

The correct choices for subtracting 3x² + 4x + 9 from 15x² + 6x − 12 are A) Write the problem as 3x² + 4x + 9 − (15x² + 6x − 12) and D) The difference is 12x² + 10x − 3.

Here's how to perform the subtraction using choice A:

1. Distribute the negative sign to each term in the parentheses: 3x² + 4x + 9 − 15x² − 6x + 12
2. Combine like terms: (3x² - 15x²) + (4x - 6x) + (9 + 12)
3. Simplify: -12x² - 2x + 21

The difference is represented by the expression -12x² - 2x + 21, which matches the answer choice C. Therefore, the correct choices are A and D.

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