Question

x⁴+4b⁴ factories the expression

Answer 1

Answer:

Given :-

➪ x⁴ + 4b⁴

Solution :-

➪ x⁴ + 4b⁴

➭ (x²)² + (2b²)²

➭ (x² + 2b²)² + 2 × x² × 2b² - 2 × x² × 2b²

➭ (x² + 2b²)² - 4x²b²

➭ (x² + 2b²)² - (2xb)²

➭ (x² + 2b² + 2xb) (x² + 2b² - 2xb)

∴ The value of x⁴ + 4b⁴ is

(x² + 2b² + 2xb) (x² + 2b² - 2xb)

Formula used :-

➪ (a + b)²

➭ a² + b² + 2ab

➪ a² - b²

➭ (a + b) (a - b)