9. Factorise 8x + y3+64z3-24xyz
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Answer:
x
3
−8y
3
−64z
3
−24xyz
=(x)
3
+(−2y)
3
+(−4z)
3
−3(x)(−2y)(−4z)
=(x−2y−4z)[x
2
+(−2y)
2
+(−4z)
2
−x(−2y)(−4z)−(−4z)x]
=(x−2y−4z)(x
2
+4y
2
+16z
2
+2xy−8yz+4zx).
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