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The value of (x^2-(y-z)^2)/((x+z)^2-y^2)...

The value of `(x^2-(y-z)^2)/((x+z)^2-y^2) + (y^2-(x-z)^2)/((x+y)^2-z^2) + (z^2-(x-y)^2)/((y+z)^2-x^2)` is equal to

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The value of (x^(2)-(y-z)^(2))/((x+z)^(2)-y^(2))+(y^(2)-(x-z)^(2))/((x+y)^(2)-z^(2))+(z^(2)-(x-y)^(2))/((y+z)^(2)-x^(2)) is -1(b)0(c)1(d) None of these

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Knowledge Check

  • (x-y-z)^(2)-(x+y+z)^(2) is equal to

    A
    `4xy+4yz`
    B
    `-4xy-4xz`
    C
    `4xy+4xz`
    D
    `-4yz`

  • The product (x+y+z)[(x-y)^(2)+(y-z)^(2)+(z-x)^(2)] is equal to

    A
    `x^(3)+y^(3)+z^(3)-3xyz`
    B
    `x^(3)+y^(3)+z^(2)`
    C
    3xyz
    D
    `2[(x^(3)+y^(3)+z^(3))-3xyz]`

  • The factors of x(y^2-z^2)+y(z^2-x^2)+z(x^2-y^2) are:

    A
    (x-y)(y-z)(z-x)
    B
    (x+y)(y+z)(z+x)
    C
    (y-x)(z-y)(x-z)
    D
    (x+y)(z-y)(x-z)

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    If x = y = z " then " (( x + y + z)^(2))/( x^(2) + y^(2) + z^(2)) is equal to

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