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Divide: (a^2+2a b+b^2)-(a^2+2a c+c^2)b...

Divide: `(a^2+2a b+b^2)-(a^2+2a c+c^2)b y\ 2a+b+c`

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`(a^2+2a b+b^2)-(a^2+2a c+c^2)b y\ 2a+b+c`
`=[(a+b+a+c)(a+b−a−c)]/[ 2a+b+c]`
`=[(2a+b+c)(b−c)]/[(2a+b+c)]`
`=b-c`
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RD SHARMA-DIVISION OF ALGEBRAIC EXPRESSIONS-All Questions
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  2. Find the value of a, if x+2\ is a factor of \ 4x^4+2x^3-3x^3+8x+5adot

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  3. What must be added to x^4+2x^3-2x^2+x-1\ so that the resulting polyno...

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  4. Divide x^4-x^3+x^2+5\ b y\ (x+1) and write the quotient and remainder.

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  8. Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3

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  9. Divide the first polynomial by the second polynomial in each of the ...

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  10. Divide the first polynomial by the second polynomial in each of the ...

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  11. Find , whether or not the first polynomial is a factor of the second...

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  14. Divide: 35 a^2+32 a-99\ b y\ 7a-9 a x^2+(b+a c)x+b c\ b y\ x+c

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  15. Divide (a^(4) - b^(4)) by a - b and find the quotient and remainder .

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  16. Divide: a^(12)+a^6b^6+b^(12)\ \ b y\ \ a^6-a^3b^3+b^6

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  17. Divide: x^(4a)+x^(2a)y^(2b)+y^(4b)\ b y\ \ x^(2a)+\ x^a\ y^b+\ y^(2b)

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  18. Divide: x^2-5x+6b y\ x-3 (ii) a x^2-a y^2b y\ a x+a y

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  19. Divide: x^4-y^4b y\ x^2-y^2 a c x^2+\ (b c+a d)x+b d\ b y\ (a x+b)

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  20. Divide: (a^2+2a b+b^2)-(a^2+2a c+c^2)b y\ 2a+b+c

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