factories 1+b³+8c³-108bc
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Step-by-step explanation:
=216+27b
3
+8c
3
−108bc
=(6)
3
+(3b)
3
+(2c)
3
−3×6×(3b)×(2c)
weknowthat
=a
3
+b
3
+c
3
−3abc
where
a=6
b=3b
c=2c
=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ca
=(6+3b+2c)(6
2
+(3b)
2
+(2c)
2
−6×3b−3b×2c−2c×6)
=(6+3b+2c)(36+9b
2
+4c
2
−18b−6bc−12c)
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