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Simplify the following using the identit...

Simplify the following using the identities: `(198\ xx\ 198-102\ xx\ 102)/(96)` (ii) `1. 73\ xx\ 1. 73-0. 27\ xx\ 0. 27`

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RD SHARMA ENGLISH-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Simplify the following using the formula: (a-b)(a+b)=a^2-b^2: 1. 8 xx...

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  2. Simplify the following using the identities: (58^2-42^2)/(16) (ii) 1...

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  3. Simplify the following using the identities: (198\ xx\ 198-102\ xx\ 1...

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  4. Find the value of x, if: (i) 4x=(52)^2-(48)^2 (ii) 14 x=(47)^2-(33)...

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  5. If x-1/x=3, find the value of x^2+1/(x^2)dot

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  6. If x-1/x=3,\ find the values of x^2+1/(x^2)a n d\ x^4+1/(x^4)dot

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  7. If x^2+1/(x^2)=18 , find the values of x+1/x and x-1/xdot

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  8. If x+y=4\ a n d\ x y=2, find the values of x^2+y^2

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  9. If x-y=7\ a n d\ x y=9, find the value of x^2+y^2

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

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  11. Find the values of the following expressions: 16 x^2+24+9\ ,\ w h e ...

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  12. If x+1/x=9. find the value of x^4+1/(x^4)dot

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  13. If x+1/x=12 , find the value of x-1/xdot

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  14. If 2x+3y=14\ a n d\ 2x-3y=2, find the value of x y . [Hint use (2x+3y...

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  15. If x^2+y^2=29\ a n d\ x y=2, find the value of (i)x+y (ii) x-y

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  16. What must be added to each of the following expressions to make it ...

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  17. Simplify: (i)(x-y)(x+y)x^2+y^2)\ (x^4+y^4) (ii)(2x-1)\ (2x+1)(4x^2...

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  18. Simplify: (m^2-n^2m)^2+2m^3n^2

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  19. Show that : (3x+7)^2-84 x=(3x-7)^2 ...

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  20. Show that : (4p q+3q)^2-(4q p-3q)^2=48 p q^2 (a-b)(a+b)+(b-c)(b+c)...

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