Math, asked by ronaknarwal, 1 year ago

factorize ( a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3​

Answers

Answered by preeti9578
10

Answer:

Step-by-step explanation:

(a²-b²)³+(b²-c²)³+(c²-a²)³

if x+y+z=0, then x³+y³+z³=3xyz

let (a²-b²)=x  ,  (b²-c²)=y  ,  (c²-a²)=z

so, now

(a²-b²)+(b²-c²)+(c²-a²)=0

a²-b²+b²-c²+c²-a²=0

0=0

so (a²-b²)+(b²-c²)+(c²-a²)=0

⇒(a²-b²)³+(b²-c²)³+(c²-a²)³=3(a²-b²)(b²-c²)(c²-a²)

hope it helps

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