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Find the continued product: (x-1/x)(x+1/...

Find the continued product: `(x-1/x)(x+1/x)(x^2+1/(x^2))(x^4+1/(x^4))`

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RD SHARMA ENGLISH-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Find the continued product: (2x+3y)(2x-3y)(4x^2+9y^2)

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  2. Find the continued product: (x-1)(x+1)(x^2+1)(x^4+1)

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  3. Find the continued product: (x-1/x)(x+1/x)(x^2+1/(x^2))(x^4+1/(x^4))

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  4. Find the continued product: (x-y/5-1)(x+y/5+1)

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  5. Simplify the products: (\ x^2+x+1)(x^2-x+1)

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  6. Simplify the product: (x^2+2x+2)(x^2-2x+2)

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  7. 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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  8. If a^2+b^2+c^2-a b-b c-c a=0,\ p rov e\ t h a t\ a=b=c

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  9. Using the formulae for squaring a binomial, evaluate the following ...

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  10. Simplify the following by using (a+b)(a-b)=a^2-b^2dot (i)68 xx 72 (i...

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  11. Find the value of x , if 6x=23^2-17^2

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  12. Find the value of x , if 4x=98^2-88^2

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  13. Find the value of x , if 25 x=536^2-136^2

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  14. What must be added to 9x^2-24 x+10 to make it a whole square?

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  15. Write the following squares of binomials as trinomials: (x+2)^2 (i...

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  16. Write the following squares of binomials as trinomials: (x+(x^2)/2)...

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  17. Write the following squares of binomials as trinomials: ((3a)/2-(5...

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  18. Find the product of the following binomials; (i)(2x+y)(2x+y) (ii...

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  19. Find the product of the following binomials; (i) (a^2+b c)(a^2-b c) ...

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

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