Question

7.Factorise: (a - b)^3+(b-c)^3+ (c-a)^3​

Answer 1

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Answer 2

Answer:

3(a-b)(b-c)(c-a)

Step-by-step explanation:

Let x =a-b , y =b-c and z =c-a

x+y+z= a-b+b-c+c-a

= 0

We know that if x+y+z=0

then x³+y³+z³= 3xyz

(a-b)³+(b-c)³+(c-a)³ = 3(a-b)(b-c)(c-a)