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Factorize: (i))x^2+8x+15 (ii) x^4+x^2...

Factorize:
(i))`x^2+8x+15`
(ii) `x^4+x^2+1`

Text Solution

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(i)`x^2+8x+15`
`=x^2−5x−3x+15`
`=x(x−5)−3(x−5)`
`=(x−5)(x−3)`

(ii) `x^4+x^2+1`
`=(x^2 )^2+2(x^2)^(1)+1^2−x^2`
`=(x^2+1) 2−x^2`
`=(x^2+1−x)(x^2 +1+x)`
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RD SHARMA-FACTORISATION-All Questions
  1. Factorize each of the following expressions: (i) 9x^2-4y^2 (ii) 36...

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

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  3. Factorize: (i))x^2+8x+15 (ii) x^4+x^2+1

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  4. Factorize: (i) 9-a^6+2a^3b^3-b^6 (ii)x^(16)-y^(16)+x^8+y^8

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  5. Factorize each of the following algebraic expressions: (1)4x^2+12 ...

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  6. Factorize each of the following algebraic expressions: (1) 9a^4-24...

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  7. Factorize each of the following algebraic expressions: (1) a^4+3a^...

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  8. Factorize each of the following algebraic expressions: 49-a^2+8a ...

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  9. Factorize each of the following algebraic expressions: (1) a^2+2a ...

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  10. Factorize each of the expressions: x^2+6x+8

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  11. Factorize each of the following expressions: x^2+4x-21

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  12. Factorize each of the following expressions: x^2-7x+12

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  13. Factorize each of the quadratic polynomials: x^2-23 x+132

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  14. Factorize each of the quadratic polynomials: x^2-21 x+108

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  15. Factorize each of the quadratic polynomials: x^2+5x-36

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  16. Factorize each of the following algebraic expressions: (1) x^2+12 ...

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  17. Factorize each of the following algebraic expressions: (1) x^2+14 ...

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  18. Factorize each of the following algebraic expressions: a^2+14 a+48...

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  19. Factorize: (i)2x^2+5x+3 (ii) 6x^2+5x-6

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  20. Factorize: (i) 6x^2-13 x+6 (ii) -2x^2-3x+2

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