Question

(L÷m+m÷n+n÷l) whole square

Answer 1

$\big(\frac{l}{m} + \frac{m}{n} + \frac{n}{l}\big)^{2}$

$= \big(\frac{l}{m}\big)^{2} +\big(\frac{m}{n}\big)^{2} +\big(\frac{n}{l}\big)^{2} +2 \times \frac{l}{m} \times \frac{m}{n} + 2 \times \frac{m}{n} \times \frac{n}{l} + 2 \times \frac{n}{l} \times \frac{l}{m}$

$\pink { (a+b+c)^{2} = a^{2}+b^{2}+c^{2}+2ab+2bc+2ca}$

$= \frac{l^{2}}{m^{2}} + \frac{m^{2}}{n^{2}} +\frac{n^{2}}{l^{2}} + 2\frac{l}{n} + 2\frac{m}{l} + 2\frac{n}{m}$

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