Question

If b is mean propotional between a and c. prove that abc[a+b+c]³ =[ab+bc+ac]³​

Answer 1

b is the mean proportional between a and c.

Which means, b=sqrt(a.c)

Or, b^2=ac——— —————(1)

Now,

abc((a+b+c)^3)

=ac.b((a+b+c)^3)

=b^2.b((a+b+c)^3)_____________[Since b^2=ac ]

=b^3((a+b+c)^3)

=(ab+b^2+bc)^3

=(ab+bc+ac)^3 ———-(Proved)

plz fllw me and mark brainiest

Answer 2

Hope it's helpful to you.