Question

x⁴-(y+z)⁴ factorise it​

Answer 1

Step-by-step explanation:

In 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)}

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

Answer 2

In 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)}

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

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