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Find the product of the following binomi...

Find the product of the following binomials;
(i)`(x^4+2/(x^2))(x^4-2/(x^2))`
(ii) `(x^3+1/(x^3))\ (x^3-1/(x^3))`
`(i) (x^4+2/(x^2))(x^4-2/(x^2))`

Text Solution

Verified by Experts

Given:
`(i) (x^4+2/(x^2))(x^4-2/(x^2))`
`=> (x^4)^2-(2/(x^2))^2`
`=> (x^8)-(4/(x^4))`
(ii) `(x^3+1/(x^3))\ (x^3-1/(x^3))`
`=> (x^3)^2-(1/(x^3)2)`
`=> (x^6)-(1/(x^6))`
...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
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  2. Find the product of the following binomials; (2x+3/y)(2x-3/y) (ii)...

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  3. Find the product of the following binomials; (i)(x^4+2/(x^2))(x^4-2/...

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  4. Using the formula for squaring a binomial , evaluate the following: ...

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  5. Using the formula for squaring a binomial , evaluate the following: ...

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  6. Simplify the following using the formula: (a-b)(a+b)=a^2-b^2: (i)(82...

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  7. Simplify the following using the formula: (a-b)(a+b)=a^2-b^2: (i)(79...

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  8. Simplify the following using the formula: (a-b)(a+b)=a^2-b^2: (i)113...

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  9. Simplify the following using the formula: (a-b)(a+b)=a^2-b^2: (i)1. ...

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

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  11. Simplify the following using the identities: (i)(198 xx 198-102 xx 1...

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

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

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

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  16. If x+y=4 and xy=2, find the values of x^2+y^2

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

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  18. If 3x+5y=11 and xy=2, find the value of 9x^2+25 y^2

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  19. Find the values of the following expressions: (i) 16 x^2+24+9 , when...

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

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