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If a+b=10\ \ a n d\ \ \ a b=16 , find th...

If `a+b=10\ \ a n d\ \ \ a b=16` , find the value of `a^2-a b+b^2\ a n d\ \ a^2+a b+b^2`

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RD SHARMA ENGLISH-ALGEBRAIC IDENTITIES-All Questions
  1. If x=3\ a n d\ y=-1, find the values of each of the using identity: (x...

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  2. If x=3\ a n d\ y=-1, find the values of each of the using identity: (5...

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  3. If a+b=10\ \ a n d\ \ \ a b=16 , find the value of a^2-a b+b^2\ a n d\...

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  4. If a+b=8\ \ a n d\ \ a b=6, find the value of a^3+b^3

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  5. If a-b=6\ \ a n d\ \ a b=20 , find the value of a^3-b^3

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  6. If x=-2\ a n d\ y=1, by using an identity find the value: (4y^2-9x^2)(...

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

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  8. If y=1, by using an identity find the value: (5y+(15)/y)(25 y^2-75+(22...

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

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

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

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

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  13. 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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  14. Evaluate: 1. 5^3-0. 9^3-0. 6^3

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  15. Without actually calculating the cube: (-12)^3+7^3+5^3

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

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  17. 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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  18. 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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  19. Find the product: (3x+2y+2z)\ \ (9x^2+4y^2+\ 4\ z^2-\ 6\ x y-4\ y z-6z...

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

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