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" If "a=x^(m+n)y^(l),b=x^(n+l)y^(m)" and...

" If "a=x^(m+n)y^(l),b=x^(n+l)y^(m)" and "c=x^(l+m)y^(n)," prove that "a^(m-n)b^(n-1)c^(l-m)

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If a=x^(m+n)y^(1),b-x^(n+l)y^(m) and c=x^(l+m)y^(n), prove that a^(m-n)b^(n-1)c^(1-m)=1

If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c=x^(l+m)y^n , prove that a^(m-n)\ b^(n-l)\ c^(l-m\ )=1

If x=a^(m+n),y=a^(n+l) and z=a^(l+m), prove that x^(m)y^(n)z^(l)=x^(n)y^(l)z^(m)

If x=a^(m+n),y=a^(n+1) and z=a^(l+m) prove that x^(m)+y^(n)z^(l)=x^(n)y^(l)z^(m)

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If x=a^(m+n),\ y=a^(n+l) and z=a^(l+m) , prove that x^m y^n z^l=x^n y^l z^m

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , then f'(x)