Factor out (x-1)²(x+1)²
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Answer:
(x-1)²(x+1)²
Step-by-step explanation:
(x²-2x+1)(x²+2x+1)
= x^4 + 2x³+ x²-2x³-4x²-2x+x²+2x+1
= x^4 + x² - 4x² + x² + 1
= x^4 + 2x² - 4x² + 1
= x^4 - 2x² + 1
= (x² + 1)²
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