Question

factorise x⁴- (y+z)⁴​

Answer 1

Step-by-step explanation:n this question, we only use the identity [a² - b² = (a + b)(a - b)]

x⁴ - (y+z)⁴

= (x²)² - {(y+z)²}²

= {x² + (y+z)²}{x² - (y+z)²}

= {x² + y² + z² + 2yz}{x + (y+z)}{x - (y+z)}

answer is

[a² - b² = (a + b)(a - b)]

x⁴ - (y+z)⁴

Answer 2

Answer:

(x² + y² + z² +2yz)(x² - y² - z² - 2yz)

Step-by-step explanation:

x⁴- (y+z)⁴​

= (x²)² - [(y+z)²]²

= [ x² + (y+z)² ]*[ x² - (y+z)² ]

= (x² + y² + z² +2yz)(x² - (y² + z² +2yz))

= (x² + y² + z² +2yz)(x² - y² - z² - 2yz)