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Find the product. (x+y-z)(x^2+y^2+z^2-xy...

Find the product. `(x+y-z)(x^2+y^2+z^2-xy+yz+zx)`

Text Solution

Verified by Experts

The correct Answer is:
`x^3+y^3-z^3+3xyz`.
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Find the product. (x-y-z)(x^2+y^2+z^2+xy-yz+xz)

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Knowledge Check

  • If x = 997, y = 998 and z = 999, then the value of (x ^(2) + y ^(2) + z ^(2) - yz - zx) is:

    A
    1
    B
    `-1`
    C
    3
    D
    0

  • If x = 977, y = 998 and z = 999, then the value of x ^(2) + y ^(2) + z ^(2) - xy - yz - zx is :

    A
    0
    B
    1
    C
    `-1`
    D
    3

    • Similar Questions

    Explore conceptually related problems

    Find the product: (3x+2y+2z)(9x^(2)+4y^(2)+4z^(2)-6xy-4yz-6zx)

    Find the product: (4x-3y+2z)(16x^(2)+9y^(2)+4z^(2)+12xy+6yz-8zx)

    Simplify- (x-y-z)(x^2+y^2+z^2+xy-yz+zx)

    Find the product: (3x-4y+5z)(9x^(2)+16y^(2)+25z^(2)+12xy-15zx+20yz)

    Simplify: (x+y+2z)(x^(2)+y^(2)+4z^(2)-xy-2yz-2zx)

    If x + y + z = 10, x^3+y^3+z^3=75 and xyz = 15, then find the value of x^2+y^2+z^2 -xy-yz-zx यदि x + y + z = 10, x^3+y^3+z^3=75 तथा xyz = 15 है, तो x^2+y^2+z^2 -xy-yz-zx का मान ज्ञात कीजिए।

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