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Factorize each of the following expressi...

Factorize each of the following expressions :
(i) `4sqrt(3)x^2+5x-2sqrt(3)`,
(ii) `5sqrt(5)x^2+30 x+8sqrt(5)`

Text Solution

Verified by Experts

1)`4sqrt3*2+5x-2sqrt3`
`4sqrt3*2+8x-3x-2sqrt3`
`4(sqrt3x+1)-sqrt3(sqrt3x+2)`
`(4x-sqrt3)(sqrt3x+2)`
2)`5sqrt5*2+30x+8sqrt5`
`5sqrt5*x+10x+10x+8sqrt5`
`5(sqrt5x+4)+2sqrt5(sqrt5+4)`
`(5x+2sqrt5)(sqrt5x+4)`.
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RD SHARMA ENGLISH-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
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  2. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2

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

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  5. Factorize : p^3(q-r)^3+q^3(r-p)^3+r^3(p-q)^3

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

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  7. Factorize : 2sqrt(2)x^3+3sqrt(3)y^3+sqrt(5)(5-3sqrt(6)x y)

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  8. Prove that : a^3+b^3+c^3-3a b c=1/2(a+b+c)"{"a-b")"^2+(b-c)^2+(c-a)^2}

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  9. Factorize : 2sqrt(2)a^3+8b^3-27 c^3+18sqrt(2)a b c

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  10. Resolve a^3-b^3+1+3a b into factors.

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  11. Factorise : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)

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

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

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

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

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

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

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

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

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

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