Question
Factorize the following expressions:
8x3 - 125y3 + 180xy + 216
✓
Answer
8x3 - 125y3 + 180xy + 216
or, 8x3 - 125y3+ 216 + 180xy
= (2x)3 + (-5y)3 + 63 - 3 × (2x)(-5y)(6)
= (2x + (-5y) + 6)((2x)2 + (-5y)2 +62 - 2x(-5y) - (-5y)6 - 6(2x))
= (2x - 5y + 6)(4x2 + 25y2 + 36 + 10xy + 30y -12x)
$\therefore$ 8x3 - 125y3 + 180xy + 216
= (2x - 5y + 6)(4x2 + 25y2 + 36 + 10xy + 30y -12x)
or, 8x3 - 125y3+ 216 + 180xy
= (2x)3 + (-5y)3 + 63 - 3 × (2x)(-5y)(6)
= (2x + (-5y) + 6)((2x)2 + (-5y)2 +62 - 2x(-5y) - (-5y)6 - 6(2x))
= (2x - 5y + 6)(4x2 + 25y2 + 36 + 10xy + 30y -12x)
$\therefore$ 8x3 - 125y3 + 180xy + 216
= (2x - 5y + 6)(4x2 + 25y2 + 36 + 10xy + 30y -12x)
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