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Factorise by taking at the common factor...

Factorise by taking at the common factors:
(i) `ab(a^(2) + b^(2) -c^(2))-bc(c^(2)-a^(2) - b^(2)) +ca(a^(2) + b^(2)-c^(2))`
(ii) `2x(a-b) +3y(5a-5b) + 4z(2b-2a)`

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The correct Answer is:
`(a^(2) _ b^(2) - c^(2))(ab + bc + ca)`
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ICSE-FACTORISATION-Exercise 5 (A)
  1. Factorise by taking out the common factors : 2(2x - 5y)(3x + 4y) - 6...

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  2. Factorise by taking out the common factors : xy(3x^(2) - 2y^(2)) - y...

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  3. Factorise by taking at the common factors: (i) ab(a^(2) + b^(2) -c^(...

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  4. Factorise by taking out the common factors : 2x(a - b) + 3y(5a-5b) +...

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  5. Factorise by grouping method : a^(3) + a - 3a^(2) - 3

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  6. Factorise by grouping method : 16(a + b)^(2) - 4a - 4b

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  7. Factorise by grouping method : a^(4) - 2a^(3) - 4a + 8

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  8. Factorise : ab -2 b + a^2 - 2a

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  9. Factorise by grouping method : ab(x^(2) + 1) + x(a^(2) + b^(2))

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  10. Factorise by grouping method : a^(2) + b - ab -a

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  11. Factorise : (v) (ax + by )^(2) + (bx - ay)^(2)

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  12. Factorise by grouping method : a^(2)x^(2) + (a x^(2) + 1) x + a

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  13. Factorise by grouping method : (2a-b)^(2) - 10a + 5b

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  14. Factorise by grouping method : a(a-4)-a + 4

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  15. Factorise by grouping method : y^(2) - (a+b)y + ab

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  16. Factorise by grouping method : a^(2) + (1)/(a^(2)) - 2 - 3a + (3)/(...

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  17. Factorise by grouping method : x^(2) + y^(2) + x + y + 2xy

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  18. Factorise by grouping method : a^(2) + 4b^(2) - 3a + 6b - 4ab

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  19. Factorise by grouping method : m(x-3y)^(2) + n(3y - x) + 5x - 15y

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  20. Factorise by grouping method : x(6x - 5y) - 4(6x - 5y)^(2)

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