Factorise - x⁴-(y+z)⁴ – InterviewSolution

1.

Factorise - x⁴-(y+z)⁴

Answer»

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}{X + (y+z)}{x - (y+z)}

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

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