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Factorisation by grouping the terms: (x^...

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

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Given `(x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y`
`=(x^2+3x)[(x^2+3x)-5]-y[(x^2+3x)-5]`
`=(x^2+3x-y)(x^2+3x-5)`
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RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a...

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  2. Factorize the following expression: 4a^2+12 a b+9b^2-8a-12 b

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

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

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  5. Factorize each of the following algebraic expressions : x^8 - y^8 a...

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  6. Factorize: (i) 8x^3+27 y^3+z^3-18 x y z, (ii) a^3-8b^3-64 c^3-24 a...

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  7. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2 8/(27)x^3+1+4/3x^2+2x...

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  8. Examples based on the middle term concepts : (i) 4sqrt3 x^2 + 5x - 2sq...

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

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

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

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

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

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

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

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

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

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

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

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