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

Find the products: (i) `(2x+y)(2x-y)(4x^2+y^2)`

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`(2x – y)(2x + y) (4x^2 + y^2)`
Identity `(a + b)(a – b) = a^2 – b^2`
` [(2x)^2 – y^2](4x^2 + y^2) = (4x^2 – y^2)(4x^2 + y^2) = 16x^ 4 – y^4`
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Find the products: (i)(2x+3y)\ (2x-3y)

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  2. Find the products: (x-1/x)\ (x+1/x)(x^2+1/(x^2))\ (x^4+1/(x^4))

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  3. Find the products: (i) (2x+y)(2x-y)(4x^2+y^2)

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  4. Evaluate each of the following by using identities: (i)103 xx 97

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  5. Evaluate each of the following by using identities: (i)(0. 99)^2 (...

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  6. Evaluate each of the following by using identities: (i)0. 54 xx 0. 5...

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  7. Evaluate each of the following by using identities: (i)95 xx 96 (...

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  8. If x+(1)/(x)=6, find : x^2+ (1)/(x^2)

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  9. If x+1/x=6, find : x^4+1/(x^4)

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  10. If x^2+1/(x^2)=27 , find the value of each of the following: x+1/x

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  11. If x^2+1/(x^2)=27 , find the value of each of the following: x-1/x

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  12. If x+y=12 and x y=32 , find the value of x^2+y^2

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  13. If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

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

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  15. Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

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  16. If : a^2+b^2+c^2-a b-b c-c a=0 , prove that a=b=c

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  17. Evaluate each of the following using identities: (i)(2x-1/x)^2 (ii...

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  18. Evaluate each of the following using identities: (a^2b-b^2a)^2 (ii)...

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  19. Evaluate each of the following using identities: (1. 5 x^2-0. 3 y^2) ...

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  20. Evaluate each of the following using identities: (i)(399)^2(ii) (0. 98...

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