x^4 + 1/x^4 - 2
asked by guest on Mar 22, 2025 at 9:33 am
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MathBot Answer:
x4+1x4−2=x4−2+1x4\displaystyle {x}^{4} + \frac{1}{{x}^{4}} - 2 = x^{4} - 2 + \frac{1}{x^{4}} x4+x41−2=x4−2+x41
x4+1x4−2=(x2+1)2(x−1)2(x+1)2x4{x}^{4} + \frac{1}{{x}^{4}} - 2 = \frac{\left(x^{2} + 1\right)^{2} \left(x - 1\right)^{2} \left(x + 1\right)^{2}}{x^{4}}x4+x41−2=x4(x2+1)2(x−1)2(x+1)2