algebraic expression for product of a and b added to their sum
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Step-by-step explanation:
When two ratios are equal, then the four quantities compositing them are said to be proportiona. If ab=cd,ab=cd, then it is written a:b=c:dora:b::c:d.a:b=c:dora:b::c:d. Also if ab=cd=λ⇒a=bλandc=dλ⇒ab=cd=a±cb±d=n(a)n±(c)n−−−−−−−−−√n(b)n±(d)n−−−−−−−−−√=λ(λ>0)ab=cd=λ⇒a=bλandc=dλ⇒ab=cd=a±cb±d=n(a)n±(c)nn(b)n±(d)n=λ(λ>0) important property of proportion :
1. If a:b=c:d,thena:b=c:d,then
a+bb=c+dd(Componendo)i.e.ab=cd⇒ab+1=cd+1a+bb=c+dd(Componendo)i.e.ab=cd⇒ab+1=cd+1
2. If a:b=cd,thena:b=c
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