Question

Factorise= 64a cube - 27b cube - 144a square b +108ab sqaure

Answer 1

Step-by-step explanation:

Factorise= 64a cube - 27b cube - 144a square b +108ab sqaure

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Answer 2

64a
3
−27b
3
−144a
2
b+108ab
2

=(4a)
3
−(3b)
3
−(3×(4a)
2
×3b)+(3×4a×(3b)
2
)
=(4a−3b)
3
(∵(x−y)
3
=x
3
−y
3
−3x
2
y+3xy
2
)

Hence, 64a
3
−27b
3
−144a
2
b+108ab
2
=(4a−3b)
3
.