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The product (a+b)(a-b)(a^2-a b+b^2)(a^2+...

The product `(a+b)(a-b)(a^2-a b+b^2)(a^2+a b+b^2)` is equal to: (a)`a^6+b^6` (b) `a^6-b^6` (c) `a^3-b^3` (d) `a^3+b^3`

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`(a + b)(a - b)(a^2 - ab + b^2)(a^2 + ab + b^2)`
`= (a + b)(a^2 - ab + b^2) xx (a - b)(a^2 + ab + b^2)`
`= (a^3 + b^3) xx (a^3 - b^3)`
`= (a^3)^2 - (b^3)^2`
`= a^6 - b^6`
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
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  2. If x^4+1/(x^4)=194 , find x^3+1/(x^3),x^2+1/(x^2) and x+1/x

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  3. If x-1/x=(15)/4, then x+1/x\ =? (a)4 (b) (17)/4 (c) (13)/4\ (d...

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  4. If 3x+2/x=7, then (9x^2-4/(x^2))=? (a)25 (b) 35 (c) 49 (d) 30

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  5. If a^2+b^2+c^2-a b-b c-c a=0, then a+b=c b+c=a c+a=b a=b=c

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  6. If a+b+c=0 , then (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)=?\ (a)0 (b) ...

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  7. If a^(1/3)+\ b^(1/3)+\ c^(1/3)=0 then (a)a+b+c=0 (b) (a+b+c)^3=27\ a...

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  8. If a+b+c=9 and a b+b c+c a=23 , then a^2+b^2+c^2=? (a)35 (b) 58 (c)...

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  9. If a+b+c=9 and a b+b c+c a=23 , then a^3+b^3+c^3-3a b c=? (a)108 (b) ...

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  10. (a-b)^3 + (b-c)^3 + (c-a)^3=? (a)(a+b+c)(a^2+b^2+c^2-ab-bc-ac) (b)3(...

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  11. 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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  12. The product (a+b)(a-b)(a^2-a b+b^2)(a^2+a b+b^2) is equal to: (a)a^6+b...

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  13. If a/b+b/a=\ -1, then a^3-b^3=? (a)1 (b) -1 (c) 1/2 (d) 0

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  14. The product (x^2-1)(x^4+x^2+1) is equal to: (a)x^8-1 (b) x^8+1 (...

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  15. If a-b=-8\ \ a n d\ \ a b=-12 , then a^3-b^3=? (a)-244 (b) -240 ...

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  16. If the value of a cuboid is 3x^2-27 , then its possible dimensions ar...

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  17. If a/b+b/a=1, then a^3+b^3=? (a)1 (b) -1 (c) 1/2 (d) 0

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  19. (x−y)(x+y)(x^2+y^2)(x^4+y^4) is equal to=

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