Question

If B = 3x - x² and C = x-8-8x2, find an expression that equals 2B - 2C in standard form.

Answer Attempt 1 out of 2
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Answer 1

To find an expression that equals 2B - 2C, substitute the given expressions for B and C into the equation and simplify to obtain -2x² + 4x + 16 + 16x².

Step-by-step explanation:

To find an expression that equals 2B - 2C in standard form, we first need to substitute the given expressions for B and C:

1. Substitute B = 3x - x² into 2B: 2B = 2(3x - x²) = 6x - 2x²
2. Substitute C = x - 8 - 8x² into 2C: 2C = 2(x - 8 - 8x²) = 2x - 16 - 16x²
3. Subtract 2C from 2B: 2B - 2C = (6x - 2x²) - (2x - 16 - 16x²) = 6x - 2x² - 2x + 16 + 16x² = -2x² + 4x + 16 + 16x²

Therefore, the expression that equals 2B - 2C in standard form is -2x² + 4x + 16 + 16x².

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