Question

13. Simplify the following: a ^ 2 * (b ^ 2 - c ^ 2) + b ^ 2 * (c ^ 2 - a ^ 2) + c ^ 2 * (a ^ 2 - b ^ 2)

Answer 1

Answer:

let a2−b2=x1;b2−c2=y1;c2−a2=z1

x1+y1+z1=0

⇒x13+y13+z13=3x1y1z1=3(a2−b2)(b2−c2)(c2−a2)

let a−b=x2;b−c=y2;c−a=z2

x2+y2+z2=0

⇒x

Answer

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