[2x²(1 + 3x) - {(1 + 4x² - 2x) (5x - 1)}]=?
- -14x³ + 16x² - 7x + 1
- -14x³ + 16x² - 5x + 1
- -14x³ + 16x² + 5x + 1
- None of these
Explanation
Let's break it down step by step:
1. Expand 2x²(1 + 3x):
2x² + 6x³
2. Expand (1 + 4x² - 2x)(5x - 1):
= 5x - 1 + 20x³ - 4x² - 10x² + 2x
= 20x³ - 14x² + 7x - 1
3. Now subtract:
2x² + 6x³ - (20x³ - 14x² + 7x - 1)
= 2x² + 6x³ - 20x³ + 14x² - 7x + 1
= -14x³ + 16x² - 7x + 1
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