Answer:
Step-by-step explanation:
Given equation:
- 4x⁴ - 12x³ + 22x² - 24x + 26 = (x-1)²[(2x-1)² + 9]
Expand the right side and compare with left side:
- (x - 1)²[(2x - 1)² + 9] =
- (x² - 2x + 1)(4x² - 4x + 1 + 9) =
- (x² - 2x + 1)(4x² - 4x + 10) =
- x²(4x² - 4x + 10) - 2x(4x² - 4x + 10) + (4x² - 4x + 10) =
- 4x⁴ - 4x³ + 10x² - 8x³ + 8x² - 20x + 4x² - 4x + 10 =
- 4x⁴ - 12x³ + 22x² - 24x + 10
As we see LHS is different from RHS and the difference is 26 ≠ 10, all the other terms are equal
