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Find the product: (x+y+2z)(x^2+y^2+4z^...

Find the product: `(x+y+2z)(x^2+y^2+4z^2-x y-2yz-2zx)`

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

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

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

Find the following produts: (i) (x+y+2z)(x^(2)+y^(2)+4z^(2)-xy-2yz-2xz)(2x-y+2z)(4x^(2)+y^(2)+9z^(2)+2xy+3yz-6xz)

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

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

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

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

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

Verify that: (x+y+z)^(2)=x^(2)+y^(2)+z^(2)+2xy+2yz+2zx

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. If x=-2\ a n d\ y=1, by using an identity find the value: (2/x - x/2...

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  2. If x=-2\ a n d\ y=1, by using an identity find the value: (5y + 15/y)...

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

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

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  5. If a+b+c=6\ a n d\ a b+b c+c a=11 , find the value of a^3 + b^3 + c^3 ...

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  6. Evaluate: 30^3+20^3-50^3

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  7. If a+b+c=15\ a n d\ a^2+b^2+c^2=83 , find the value of a^3+b^3+c^3-3a ...

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  8. Evaluate: 1. 5^3-0. 9^3-0. 6^3

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  9. Without actually calculating the cub: (-12)^3+7^3+5^3

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  10. Without actually calculating the cub: (28)^3+\ (-15)^3+\ (-13)^3

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  11. If x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x y z=-1, find the value of x^3+...

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  12. Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a...

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  13. Find the product: (3x+2y+2z)\ \ (9x^2+4y^2+\ 4\ z^2-\ 6\ x y-4\ y z-6z...

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  14. Find the product: (4x-3y+2z)\ (16 x^2+9y^2+4z^2+12 x y+6y z-8z x)

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  15. Find the product: (2a-3b-2c)(4\ a^2+\ 9\ b^2+\ 4\ c^2+\ 6\ a b-6\ b c+...

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

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  17. If x+y+z=8\ \ a n d\ \ \ x y+y z+z x=20 , find the value of x^3+y^3+z^...

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  18. If a+b+c=9\ \ \ a n d\ \ \ a b+b c+c a=26 , find the value of a^3+b^3+...

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  19. If a+b+c=9 and a^2+b^2+c^2=35 , find the value of a^3+b^3+c^3-3a b c

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  20. Evaluate: 25^3-75^3+50^3

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