Question

Factorise x⁴+x²+1.
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Answer 1

Answer:

Given :-

➪ x⁴ + x² + 1

Solution :-

➪ x⁴ + x² + 1

➭ (x²)² + 2 × (x²) × 1 + (1)² - x²

➭ (x² + 1)² - x²

➭ (x² + 1)² - (x)²

➭ (x² + 1 + x) (x² + 1 - x)

∴ The value of x⁴ + x² + 1 is

(x² + 1 + x) (x² + 1 - x)

Formula used :-

➪ (a + b)²

➭ a² + 2ab + b²

➪ a² - b²

➭ (a + b) (a - b)