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Question -

8x3 – 125y3 + 180xy + 216



Answer -

8x3 – 125y3 + 180xy + 216
= (2x)3 + (-5y)3 + (6)3 – 3 x2x (-5y) x 6
= (2x – 5y + 6) [(2x)2 + (-5y)2 + (6)2 –2x x (-5y) – (-5y) x 6 – 6 x 2x]
= (2x -5y + 6) (4x2 + 25y2 + 36 + 10xy + 30y –12x)

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