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Setler79 [48]
2 years ago
5

GIVING BRAINLIEST!!!Show that(Factor it) 4x^4-12x^3+22x^2-24x+26=(x-1)^2[(2x-1)^2+9]​

Mathematics
1 answer:
-BARSIC- [3]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>Given equation:</u>

  • 4x⁴ - 12x³ + 22x² - 24x + 26 = (x-1)²[(2x-1)² + 9]​

<u>Expand the right side and compare with left side:</u>

  • (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

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