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Factorize: (a) (y-x)a+(x-y)b (b)9(a-...

Factorize: (a) `(y-x)a+(x-y)b`
(b)`9(a-2b)^2+6(2b-a)`
(c)`(x-2y)^2-4x+8y`
(d)`2a+6b-3(a+3b)^2`

Text Solution

Verified by Experts

Given:
(a) `(y-x)a+(x-y)b`
`=>(y-x)a-1(y-x)b`
`=>(y-x)(a-b)`
(b)`9(a-2b)^2+6(2b-a)`
`=> 9(a-2b)^2-6(a-2b)`
`=> 3(a-2b)(3(a-2b)-2)`
`=> 3(a-2b)(3a-6b-2)`
...
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RD SHARMA-FACTORISATION-All Questions
  1. Factorize the following : (1)9x^2y+3a x y (2) 16 m-4m^2 (3)-4a^2...

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  2. Factorize : (i) 7(2x+5)+3(2x+5), (ii) (x+2)y+(x+2)x, (iii) 5a(2x...

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  3. Factorize: (a) (y-x)a+(x-y)b (b)9(a-2b)^2+6(2b-a) (c)(x-2y)^2-4...

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  4. Factorize : (i)(x+y)(2x+3y)-(x+y)(x+1) (ii) (x+y)(2a+b)-(3x-2y)(2...

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  5. Factorize each of the following algebraic expressions: (i) 6x(2x-y...

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  6. Factorize each of the following algebraic expressions: (i) 5(x-2y)...

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  7. Factorize each of the following algebraic expressions: x^4-y^4

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  8. Factorize each of the following algebraic expressions: (i) x^3(a-2...

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  9. Factorize: (i)x^2+x y+8x+8y (ii) 15 x y-6x+10 y-4

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  10. Factorize: (i)15 a b+15+9b+25 a (ii) n-7+7l m-l m n

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  11. Factorize: (i) a x+b x+a y+b y, (ii) a x^2+b y^2+b x^2+a y^2, (iii)...

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  12. Factorize: a^2+2a+a b+2b, x^2-x z+x y-x z

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  13. Factorize each of the following expressions: (i)a^2-b+a ba (ii) x y-...

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  14. Factorize each of the following expressions: (i) 6a b-b^2+12 a c-2b c...

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  15. Factorize each of the following expressions: (i) a^2x^2+(a x^2+1)x+a...

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

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

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

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

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