a(a-1)-b(b-1)

Prove that (a+b+c)/(a^(-1)b^(-1)+b^(-1)c^(-1)+c^(-1)a^(-1))=abc

( Prove that: )/(a^(-1)b^(-1)+b^(-1)c^(-1)+c^(-1)a^(-1))=abc

Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=a b c

The area of figure bounded by the curves y=a^(x)(a>1) and y=b^(-x)(b>1) and the straight line x=1 is (1)(1)/(log a)(a-1)+(1)/(log b)((1)/(b)-1)(2)log a(a-1)+log b((1)/(b)-1)(3)(1)/(log a)(a-1)+log b(b-1)(4)log a(a-1)+log b(b-1)

Statement 1: If the matrices,A,B,(A+B) are non-singular,then [A(A+B)^(-1)B]^(-1)=B^(-1)+A^(-1). Statement 2:[A(A+B)^(-1)B]^(-1)=[A(A^(-1)+B^(-1))B]^(-1)=[(I+AB^(-1))B]^(-1)=[(B+AB^(-1))B]^(-1)=[(B+AI)]^(-1)=[(B+A)]^(-1)=B^(-1)+A^(-1)

If the matrices A, B (A + B) are non - singular, then [A(A+B)^(-1) B]^(-1) . a) A^(-1)B^(-1) b) B^(-1)+A^(-1) c) B^(-1)A^(-1) d)None of these

If a, b, c are even natural numbers, then Delta=|{:(a-1,a,a+1),(b-1,b,b+1),(c-1,c,c+1):}| is a multiple of

If a, b, c are even natural numbers, then Delta=|{:(a-1,a,a+1),(b-1,b,b+1),(c-1,c,c+1):}| is a multiple of

If a,b,c are even natural numbers, then |{:(a-1,a,a+1),(b-1,b,b+1),(c-1,c,c+1):}| is equal to

-1,b,ca,-1,ca,b,-1]|=(a+1)(b+1)(c+1)((1)/(a+1)+(b)/(b+1)+(c)/(c+1)-1)