\(a:b=c:d\) āĻšāĻ˛ā§, āĻĻā§āĻāĻžāĻ āĻ¯ā§, \((a^2+b^2):(a^2-b^2)=(ac+bd):(ac-bd)\)
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\(a:b=c:d \)
āĻŦāĻž, \(\cfrac{a}{b}=\cfrac{c}{d} \)
āĻŦāĻž, \(\cfrac{a}{b}Ã\cfrac{a}{b}=\cfrac{c}{d}Ã\cfrac{a}{b} \) [āĻāĻā§āĻĒāĻā§āĻˇāĻā§ \(\cfrac{a}{b}\) āĻĻā§āĻŦāĻžāĻ°āĻž āĻā§āĻ¨ āĻāĻ°ā§ āĻĒāĻžāĻ]
āĻŦāĻž, \(\cfrac{a^2}{b^2} =\cfrac{ac}{bd} \)
āĻŦāĻž, \(\cfrac{a^2+b^2}{a^2-b^2 }= \cfrac{ac+bd}{ac-bd} \) [ āĻ¯ā§āĻāĻāĻžāĻ āĻĒā§āĻ°āĻā§āĻ°āĻŋā§āĻžāĻ° āĻ¸āĻžāĻšāĻžāĻ¯ā§āĻ¯ā§ ]
\(â´(a^2+b^2 ):(a^2-b^2 )=(ac+bd):(ac-bd)\) [āĻĒā§āĻ°āĻŽāĻžāĻ¨āĻŋāĻ¤]