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Factorize: 3sqrt(3)a^3-b^3-5sqrt(5)c^3-3...

Factorize: `3sqrt(3)a^3-b^3-5sqrt(5)c^3-3sqrt(15)a b c`

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(a-b-sqrt(5)c)(3a^2+b^2+5c^2+sqrt(3)ab-sqrt(5)bc+sqrt(15)ac)`
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The simplest rationalising factor of sqrt(3)+sqrt(5) is sqrt(3)-5( b) 3-sqrt(5)(c)sqrt(3)-sqrt(5)(d)sqrt(3)+sqrt(5)

Factorise : (i) (x-y)^(3)+(y-z)^(3)+(z-x)^(3) (ii) (x-2y)^(3)+(2y-4z)^(3)+(4z-x)^(3) (iv) (3sqrt(2)a-5sqrt(3)b)^(3)+(5sqrt(3)b-7sqrt(5)c)^(3)+(7sqrt(5)c-3sqrt(2)a)^(3) .