Question

if l+m+n=0, then prove that l2/mn + m2/nl +n2/lm =3.
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Answer 1

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Answer 2

If l + m + n = 0 then

l3 + m3 + n3 = 3lmn

Similarly

Left hand side:

=l2/mn + m2/nl + n2/lm

(LCM of l,m,n is l×m×n)

Multiply left hand side by lmn

= l3 + m3 + n3/ lmn

= 3lmn / lmn

= 3

= Right hand side

Hence proved

The above question is from algebra section. These type of questions are simple to answer. To solve these type of questions you must prove that the left hand side is equal to right hand side of the equation.

You can expect this type of questions in 8th 9th and 10th standard. They are very basic questions in algebra.