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Factorize each of the following expre...

Factorize each of the following expressions: `(5x-1/x)^2+4\ (5x-1/x)+4,\ x!=0` `4(x+y)^2-28 y(x+y)+49 y^2` `(2a+3b)^2+2\ (2a+3b)(2a-3b)+(2a-3b)^2`

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Verified by Experts

We know that two numbers product is equal their HCF and LCM product.
Let another number` =x`
`x xx 30=180 xx 6`
`x=(180 xx 6)/30`
`x=36`
So, another number is `36`.
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Factorisation by grouping the terms: (x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y

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

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

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

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

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

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

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

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  10. Factorize each of the following expressions : x^4+x^2+1 (ii) x^4+5x^2...

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  11. Factorize each of the following rational expressions: x^4+4 (ii) x...

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  12. Factorize the splitting the middle term: x^2+3sqrt(3)x+6

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  13. Factorize the splitting the middle term: x^2+3sqrt(3)x-30

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  14. Factorize : (x^2-4x)(x^2-4x-1)-20

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  15. Factorize each of the following expressions : (i) 4sqrt(3)x^2+5x-2sqr...

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  16. Factorize of the expression: 5sqrt(5)\ x^2+30 x+8sqrt(5)

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  17. Factorize of the expression: 7sqrt(2)\ x^2-10 x-4sqrt(2)

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

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

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

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