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Factorize each of the following expressi...

Factorize each of the following expressions : `x^2+2x y+y^2-a^2+2a b-b^2`

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`=x^2+2x y+y^2-a^2+2a b-b^2`
`=(x+y)^2-(a-b)^2`
`=(x+y+a−b)(x+y−a+b)`
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
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  2. Factorise : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)

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  3. Factorize each of the following expressions : x^2+2x y+y^2-a^2+2a b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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