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Sol : x ( x - y )³ + 3 x²y ( x - y )
By taking ( x - y ) as common,
= ( x - y ) { x ( x - y )² + 3 x²y }
= ( x - y ) { x ( x² + y² - 2 xy ) + 3 x²y }
= ( x - y ) { x³ + xy² - 2 x²y + 3 x²y }
= ( x - y ) ( x³ + xy² + x²y )
= ( x - y ) ( x² + y² + xy ) x
= x ( x - y ) ( x² + y² + xy )
____________________________________
By taking ( x - y ) as common,
= ( x - y ) { x ( x - y )² + 3 x²y }
= ( x - y ) { x ( x² + y² - 2 xy ) + 3 x²y }
= ( x - y ) { x³ + xy² - 2 x²y + 3 x²y }
= ( x - y ) ( x³ + xy² + x²y )
= ( x - y ) ( x² + y² + xy ) x
= x ( x - y ) ( x² + y² + xy )
____________________________________
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