Question

x⁴ + 8x² + 144 resolve into factors​

Answer 1

Step-by-step explanation:

x⁴ + 8x² + 144 = x⁴ + 24x² + 12² - 16x²

= (x² + 12)² - (4x)²

This is of the form a² - b² = (a + b)*(a - b)

So, (x² + 12)² - (4x)²

= (x² + 12 + 4x)(x² + 12 - 4x)

x⁴ + 8x² + 144 = (x² + 4x + 12)(x² - 4x + 12)

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