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

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

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Given:
`=> (x+2)(x-2)(x^2+4)`
Using the identity
`(a-b) (a+b)=(a^2-b^2)`
`=>(x^2-2^2)xx(x^2+4)`
`=>(x^2-4)(x^2+4)`
Again,Using the identity
`(a-b) (a+b)=(a^2-b^2)`
...
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. If 3x+2y=12\ a n d\ x y=6, find the value of 9x^2+4y^2dot

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  2. If 4x^2+y^2=40\ a n d\ x y=6,\ find the value of 2x+ydot

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

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  4. Find the continued product: (2x+3y)(2x-3y)(4x^2+9y^2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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