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If a^2+b^2+c^2=250 and a b+b c+c a=3, ...

If `a^2+b^2+c^2=250` and `a b+b c+c a=3,` find `a+b+c`

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RD SHARMA ENGLISH-ALGEBRAIC IDENTITIES-All Questions
  1. 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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  2. Find the value of 4x^2+y^2+25 z^2+4x y-10 y z-20 z x when x=4,y=3 and ...

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  3. If a^2+b^2+c^2=250 and a b+b c+c a=3, find a+b+c

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  4. If a+b+c=6 and a b+b c+c a=11 , find the value of a^3+b^3+c^3-3a b c

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  5. Find the following products: (i) (x+y+2z)(x^2+y^2+4z^2-x y-2y z-2x z)...

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  6. If x-1/x=-1, find the value of x^2+1/(x^2)

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  7. If a^2+b^2+c^2-a b-b c-c a=0, then find the relation between a,b and c

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  8. If 9x^2+25 y^2=181 and x y=-6, find the value of 3x+5y

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  9. if a-b=6 , ab=20 . find a^3-b^3

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  10. Write the following in expanded form: (i)(9x+2y+z)^2 (ii) (3x+2y...

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  11. Prove that a^2+b^2+c^2-a b-b c-c a is always non-negative for all valu...

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  12. If a+b+c=9 and a b+b c+c a=40 , find a^2+b^2+c^2dot

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  13. Simplify : (i)(a+b+c)^2 (ii) (a+b+c)^2-(a-b-c)^2

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  14. If x^2+1/(x^2)=98 , find the value of x^3+1/x^3

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  15. Simplify the following: 7x^3+8y^3-(4x+3y)(16 x^2-12 x y+9y^2)

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  16. If a-b=6 and a b=20 , find the value of a^3-b^3

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  17. If a+b=10 and a b=21 , find the value of a^3+b^3

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  18. If 4x^2+y^2=40 and x y=6, find the value of 2x+ydot

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  19. If a+b=7 and a b=12 , find the value of (a^2-a b+b^2)

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  20. If x^2+1/(x^2)=83. find the value of x^3-1/x^3

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