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Find the product (p-1/p)(p+1/p)(p^2+1/(p...

Find the product `(p-1/p)(p+1/p)(p^2+1/(p^2))(p^4+1/(p^4)).`

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Verified by Experts

The correct Answer is:
`p^(8)-1/p^(8)`
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CBSE COMPLEMENTARY MATERIAL-POLYNOMIALS-Part C
  1. Simplify (5a-2b) (25a^(2)+10ab+4b^(2)) -(2a+5b) (4a^(2)-10ab+25b^(2)).

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  2. Find the sum of remainders when x^(3)-3x^(2)+4x-4 is divided by (x-1) ...

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  3. Find the product (p-1/p)(p+1/p)(p^2+1/(p^2))(p^4+1/(p^4)).

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  4. Factories 7sqrt2 k^(2)-10k-4sqrt2

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  5. Simplify: (3x-4y)^(3)-(3x+4y)^(3)

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  6. Use appropriate identity, expand (2a)^(3)+b^(3)+(3c)^(3)-18abc.

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  7. Simplify (x+y+z)^(3)-(x-y-z)^(2).

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  8. Factories 125x^(3)+8y^(3)+z^(3)-30xyz.

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  9. x+2 is a factor of polynomial ax^(3)+bx^(2)+x-2 and the remainder 4 is...

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  10. If the polynomials a x^3+4 x^2 + 3x -4 and x^3 - 4x + a leave the sam...

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  11. If ((9)/(10))^(3) -(2/5)^(3)-(1/2)^(3)=(x)/(50), find x

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  12. If (x-3) and (x-1/3) are factors of the polynomial px^(2)+3x+r, show t...

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  13. Using identify, find the value of (-7)^(3)+(5)^(3)+(2)^(3).

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  14. Find the dimensions of cube whose volume is given by the expression. 4...

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  15. Given possible expression for the length and breadth of each of the fo...

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  16. A literacy caompaign was organised by Class IX girl students under NSS...

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  17. Under tree plantation programme students of Class IX planted total (3x...

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  18. I f a+b+c=0,f i n d t h e v a l u e((b+c)^2)/(b c)+((c+a)^2)/(c a)+((a...

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  19. 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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  20. .Factorise: (2a-b-c)^(3)+(2b-c-a)^(3)+(2c-a-b)^(3)

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