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

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

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To find the continued product \((x - \frac{y}{5} - 1)(x + \frac{y}{5} + 1)\), we can follow these steps: ### Step 1: Rewrite the expression We start with the expression: \[ (x - \frac{y}{5} - 1)(x + \frac{y}{5} + 1) \] ...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Find the continued product: (x-1)(x+1)(x^2+1)(x^4+1)

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

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

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

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

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  6. 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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  7. If a^2+b^2+c^2-ab-bc-ca=0, prove that a=b=c

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  8. Using the formulae for squaring a binomial, evaluate the following :...

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

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

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

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

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

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

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

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

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

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

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

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

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