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Factorize: (i) x^3-2x^2y+3x y^2-6y^3 ...

Factorize:
(i) `x^3-2x^2y+3x y^2-6y^3`
(ii) `6a b-b^2+12 a c-2b c`

Text Solution

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Given:
`(i) x^3-2x^2y+3x y^2-6y^3`
`=> x^2(x-2y)+3 y^2(x-2y)`
`=> (x^2+3y^2)(x-2y)`
`(ii) 6a b-b^2+12 a c-2b c`
`=> b(6a-b)+2c(6a-b)`
`=> (b+2c)(6a-b)`
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RD SHARMA-FACTORISATION-All Questions
  1. Factorize each of the following expressions: (i) a^2x^2+(a x^2+1)x+a...

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  2. Factorize each of the following expressions: (i) a^3x+a^2(x-y)-a(y+z)...

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  3. Factorize: (i) x^3-2x^2y+3x y^2-6y^3 (ii) 6a b-b^2+12 a c-2b c

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  4. Factorize each of the following expressions: (1)q r-p r+q s-p s (2...

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  5. Factorize each of the following expressions: (1)x a^2+x b^2-y a^2-y ...

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  6. Factorize each of the following expressions: (1) a x y+b c x y-a z-b...

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  7. Factorize each of the following expressions: (1) x^2-2a x-2b a+b x ...

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  8. Factorize each of the following expressions: (1) 16(a-b)^3-24(a-b)^2...

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  9. Factorize each of the following expressions: (1)a(a+b-c)-b c (2) x...

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  10. Factorize: (i)9a^2-16 b^2 (ii) 36 a^2-(x-y)^2 (iii)80 a^2-45 b^2 ...

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  11. Factorize: (i)x^4-y^4 (ii) 16 x^4-81 (iii)x^4-(y+z)^4 (iv) 2x-32...

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  12. Factorize: (i)16 a^2-(25)/(4a^2) (ii) 16 a^2b-b/(16 a^2) (iii)100...

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  13. Factorize each of the following algebraic expressions: (i)x^4-81 y^4 ...

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  14. Factorize each of the following algebraic expressions: (i) 16(2x-1)^...

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  15. Factorize each of the following algebraic expressions: (i) x^2-4x+4y-...

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  16. Factorize each of the following algebraic expressions: (i) x(x+z)-y(y...

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  17. Factorize each of the following expressions: (1)16 x^2-25 y^2 (2) 2...

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  18. Factorize each of the following expressions: (i)(2a-b)^2-16 c^2 (ii...

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  19. Factorize each of the following expressions: (1) 36l^2-(m+n)^2 (2) ...

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  20. Factorize each of the following expressions: (1)(3+2a)^2-25 a^2 (2)...

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