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Factorize each of the following expressi...

Factorize each of the following expressions : `x(x+z)-y(y+z)` ​

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`x(x+z)−y(y+z)`
`=x^2+xz−y^2−yz`
`=x^2−y^2+xz−yz`
`=(x−y)(x+y)+z(x−y)`
`=(x−y)(x+y+z)`
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorize each of the following expressions : x^2+2x y+y^2-a^2+2a b...

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  2. Factorize each of the following expressions : 3-12(a-b)^2

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  3. Factorize each of the following expressions : x(x+z)-y(y+z) ​

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  4. Factorize each of the following expressions : a^2-b^2-a-b

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  5. Factorize each of the following expressions : 25 x^2-10 x+1-36 y^2

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

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

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

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  9. Factorize each of the following expressions by splitting the middle ...

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  10. Factorize each of the following expressions by splitting the middle ...

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  11. Factorize each of the following expressions: (a) 2p(a-b)+3q\ (5a-5b...

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  12. Factorize of the expression: a^3x+a^2(x-y)-a(y+z)-z\

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  13. Factorisation by grouping the terms: (x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y

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  14. Factorize each of the following expressions: 4a^2+12 a b+9b^2-8a-12 ...

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  15. Factorize each of the following expressions: (5x-1/x)^2+4\ (5x-1/x...

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  16. Factorise: (i) 4x^2+9y^2+16 z^2+12 x y-24 y z-16 x z (ii) 2x^2+y^2+...

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  17. Factorize each of the following algebraic expressions : x^8-y^8 (i...

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  18. Factorize each of the following algebraic expressions : x^8-y^8 (i...

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  19. Factorize each of the following expressions: 4a^2-9b^2-2a-3b x^2...

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  20. Factorize each of the following expressions: 3-12(a-b)^2 (ii) x...

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