factories x^4/4+4x^4+1
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Answer:Step-by-step explanation:
x⁴/4 + 4/x⁴ + 1
= (x²/2)² + (2/x²)² + 1
= (x²/2)² + (2/x²)² + 2 - 1
= (x²/2)² + (2/x²)² + 2(x²/2)(2/x²) - 1
Using (a + b)² = a² + b² + 2ab
a = x²/2 b = 2/x²
= (x²/2 + 2/x²)² - 1
= (x²/2 + 2/x²)² - 1²
Using a² - b² = (a + b)(a - b)
a = x²/2 + 2/x²
b = 1
= (x²/2 + 2/x² + 1)(x²/2 + 2/x² - 1)
x⁴/4 + 4/x⁴ + 1 = (x²/2 + 2/x² + 1)(x²/2 + 2/x² - 1)
Step-by-step explanation:
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