Question

Factorise: (a – b)3 + (b – c)3 + (c – a)3​

Answer 1

Answer:

(a−b)

3

+(b−c)

3

+(c−a)

3

=(a

3

−3a

2

b+3ab

2

−b

3

)+(b

3

−3b

2

c+3bc

2

−c

3

)+(c

3

−3c

2

a+3ca

2

−a

3

)

=−3a

2

b+3ab

2

−3b

2

c+3bc

2

−3c

2

a+3ca

2

=3a

2

(c−b)+3b

2

(a−c)+3c

2

(b−a)

Answer 2

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