Question

the fourth proportional to a square minus a b + b square , A cube plus b cube and a minus b is equal to​

Answer 1

Answer:

a^2-b^2

Step-by-step explanation:

if we have to find fourth proportion of number x,y,z. then

let k be it fourth proportion

use formula

x/y=z/k

Answer 2

Given :

$a^2-ab+b^2\\\\a^3+b^3\\\\a-b$

To find : the fourth proportional = ?

Solution :

Let

$a=a^2-ab+b^2\\\\b=a^3+b^3\\\\c=a-b$

So, the fourth proportional is given by

$\dfrac{bc}{a}=\dfrac{(a^3+b^3)(a-b)}{a^2-ab+b^2}\\\\=\dfrac{(a-b)^2(a^2-ab+b^2)}{a^2-ab+b^2}\\\\=(a-b)^2$

Hence, the fourth proportional is $(a-b)^2$