Factorise: 8x³-125y³+180xy+216 using algebraic identities (IX)
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=(2x)³+(-5y)³+(6)³-3(2x)(-5y)(6)
=a³+b³+c³-3abc= (a + b + c)(a² + b² + c² - ab - bc - ca)
=(2x-5y+6) [(2x)²+(-5)²+(6)²-2x*(-5y)-(-5y)*6 - 6*2x]
= (2x - 5 y + 6) (4 x² + 25 y² + 36 + 10 x y + 30 y - 12 x)
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