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Simplify each of the following: 322\ xx\...

Simplify each of the following: `322\ xx\ 322-2\ xx\ 322\ xx\ 22+22\ xx\ 22`

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RD SHARMA ENGLISH-ALGEBRAIC IDENTITIES-All Questions
  1. Evaluate each of the following using identities: (i)991\ xx\ 1009 (ii)...

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  2. Simplify each of the following: 175\ xx\ 175+2\ xx\ 175\ xx\ 25+25\ xx...

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  3. Simplify each of the following: 322\ xx\ 322-2\ xx\ 322\ xx\ 22+22\ xx...

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  4. Simplify each of the following: 0. 76\ xx\ 0. 76+2\xx\ 0. 76\ xx\ 0. 2...

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  5. Simplify each of the following: (7. 83\ xx\ 7. 83-1. 17\ xx\ 1. 17)/(6...

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  6. If x+1/x=11 , find the value of x^2+1/(x^2)

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

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  8. If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)

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  9. If x^2+1/(x^2)=66 , find the value of x-1/x

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  10. If x^2+1/(x^2)=79 , find the value of x+1/x

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  11. If 9x^2+25 y^2=181\ \ a n d\ x y\ =\ -6, find the value of 3x+5y

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  12. If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

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  13. If 3x-7y=10\ and x y=-1, find the value of 9x^2+49 y^2

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  14. Simplify each of the products: (1/2a-3b)(3b+1/2a)(1/4a^2+9b^2)

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  15. Simplify each of the products: (m+n/7)^3\ (m-n/7)

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  16. Simplify each of the products: (x/2-2/5)(2/5-x/2)-x^2+2x

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  17. Simplify each of the products: (x^2+x-2)(x^2-x+2)

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  18. Simplify each of the products: (x^3-3x^2-x)(x^2-3x+1)

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  19. Simplify each of the products: (2x^4-4x^2+1)(2x^4-4x^2-1)

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  20. 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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