Home
Class 9
MATHS
Prove that ((a)/(b)-(b)/(c))^(3)+((b)/(c...

Prove that `((a)/(b)-(b)/(c))^(3)+((b)/(c)-(c)/(a))^(3)+((c)/(a)-(a)/(b))^(3)=(3(ca-b^(2))(ab-c^(2))(bc-a^(2)))/(a^(2)b^(2)c^(2))`

Promotional Banner

Topper's Solved these Questions

  • FACTORISATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.1|30 Videos

  • FACTORISATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.2 (A Factorise the following polynomials )|5 Videos

  • FACTORISATION

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (MCQ)|7 Videos

  • DISTANCE FORMULAS

    CALCUTTA BOOK HOUSE|Exercise Long answer|11 Videos

  • FREQUENCY DISTRIBUTIONS OF GROUPED DATA

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1 (LONG TYPE ANSWER QUESTION)|14 Videos

Similar Questions

Explore conceptually related problems

Prove that ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))=(a+b)(b+c)(c+a)

(a-2b)^(3)+(c-a)^(3)+(2b-c)^(3)

Find : ((b^(2a)-c^(2a))^(3)+(c^(2a)-a^(2a))^(3)+(a^(2a)-b^(2a))^(3))/((b^(a)-c^(a))^(3)+(c^(a)-a^(a))^(3)+(a^(a)-b^(a))^(3))

Prove that, |{:((b+c)^(2),c^(2),b^(2)),(c^(2),(c+a)^(2),a^(2)),(b^(2),a^(2),(a+b)^(2)):}|=2(bc+ca+ab)^(3)

Factorise : a^(2)(b+c)+b^(2)(c+a)+c^(2)(a+b)+a^(3)+b^(3)+c^(3)

If a=-1,b=2,c=3," then"(a^(3)+b^(3)+c^(3)-3abc)/((a-b)^(2)+(b-c)^(2)+(c-a)^(2))=

a^(3)+b^(3)+c^(3)-3abc=k(a+b+c)[(a-b)^(2)+(b-c)^(2)+(c-a)^(2)] , then k=

Factorise : bc(b^(3)-c^(3))+ca(c^(3)-a^(3))+ab(a^(3)-b^(3))

Prove |{:(1,a^2+bc,a^3),(1,b^2+ca,b^3),(1,c^2+ab,c^3):}|=-(a-b)(b-c)(c-a)(a^2+b^2+c^2)

Using properties of determinants prove that, |{:((b+c)^(2),a^(2),a^(2)),(b^(2),(c+a)^(2),b^(2)),(c^(2),c^(2),(a+b)^(2)):}|=2abc(a+b+c)^(3)