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ab(a-b) + bc(b-c) + c a(c-a) is equal to...

`ab(a-b) + bc(b-c) + c a(c-a)` is equal to :

A

`(a+ b)(b- c)(c - a)`

B

` (a-b)(b-c)(c - a)`

C

`(b-a)(b-c)(c-a)`

D

`(a-b)(b+ c)(c-a)`

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Knowledge Check

  • ab(a-b)+bc(b-c)+ca(c-a) is equal to

    A
    `(a+b)(b-c)(c-a)`
    B
    `(b-a)(b-c)(c-a)`
    C
    `(a-b)(b-c)(c-a)`
    D
    `(a-b)(b+c)(c-a)`
  • If a+b+ c=0 , then (a^(2)+ b^(2) + c^(2) )/( ab+ bc+ca) is equal to

    A
    `2`
    B
    `1`
    C
    `-1`
    D
    3
  • If a + b + c = 13 and ab + bc + ca = 54 , then a^(3) + b^(3) + c^(3) - 3abc is equal to :

    A
    A)793
    B
    B)273
    C
    C)91
    D
    D)182
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