Factorise - x⁴-(y+z)⁴
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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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