Question

Factrozie x to the power of 4 plus 4

Answer 1

✯Question✯

• Factorize x⁴ + 4

✮Making the expression, a perfect square we get:

• x⁴ + 4 = x⁴ + 4 + 4x² - 4x²  (Adding and subtracting 4x² on both sides)
• (x⁴ + 4 + 4x²) - (4x²)
• (x² + 2)² - (2x)²

➺ (x² + 2)² - (2x)² is resembling the identity (a)² - (b)²

➺ We know (a)² - (b)² = (a+b) (a-b)

✭Further simplification✭

• (x² + 2 + 2x) (x² + 2 -2x) are the factors for x⁴  + 4