Question

Factorize x4 – x2 + 2x – 1.​

Answer 1

Answer:

$(x {}^{2} + x - 1)(x {}^{2} - x + 1)$

Step-by-step explanation:

$Given, \\ x {}^{4} - x {}^{2} + 2x {}^{} - 1 \\ = x {}^{4 } + x {}^{3} - x {}^{3} - x {}^{2} - x {}^{2} + x {}^{2} + x + x - 1 \\ = x {}^{2} (x {}^{2} +x - 1) - x(x {}^{2} + x - 1) + x {}^{2} + x - 1 \\ = (x {}^{2} + x - 1)(x {}^{2} - x + 1)$

Hope this will help you!!