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

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

Text Solution

Verified by Experts

We know that,
`a^3+b^3+c^3−3abc=(a+b+c)(a^2+b^2+c^2−ab−bc−ca)`
Thus,
`2sqrt(2)a^3+8b^3−27c^3+18sqrt(2)abc`
Here, `a=sqrt(2)a, b=2b and c=−3c`
`=(sqrt2a+2b−3c)[(sqrt(2)a)^2+(2b)^2+(−3c)^2−sqrt(2)a(2b)−(2b)(−3c)−(−3c)(sqrt(2)a)]`
`=(sqrt(2)a+2b−3c)(sqrt(2)a^2+4b^2+9c^2−2sqrt(2)ab+6bc+3sqrt(2)ac)`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos

  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

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

Factorise 2sqrt(2)a^(3)+8b^(3)-24c^(3)+18sqrt(2)abc

Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc (ii) 2sqrt(2)a^(3)+8b^(3)-27c^(3)+18sqrt(2)abc

2sqrt(2)a^3+3sqrt(3)b^3+c^3-3sqrt(6)abc

Factorize: 2sqrt(2)a^(3)+16sqrt(2)b^(3)+c^(3)-12abc

Factorize: 2sqrt(2)a^(3)+3sqrt(3)b^(3)+c^(3)-3sqrt(6)abc

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

2sqrt(2)a^(3)+16sqrt(2)b^(3)+c^(3)-12abc