Question

(a²+b²) (c²-b²) (d²+c²)​

Answer 1

Answer:

To Find : prove that

(a²+c²) / (b²+d²)=  ca/ db = c²/d²

Solution:

Let  a/b = c/d = k

=> a = bk  and c = dk

 (a²+c²)/  (b²+d² )

= ( (bk)² + (dk)² )/ (b² + d²)

= k²(b² + d²)/(b² + d²)

= k²

ca/db

= dk.bk/db

= dbk²/db

= k²

c²/d²

= (dk)²/d²

= d²k²/d²

= k²

(a²+c²) / (b²+d²)=  ca/ db = c²/d² = k²

Hence Proved

(a²+c²)/(b²+d²)=ca/db=c²/d²

Learn More:

if (ad-bc)/(ab-c+d)=(ac-bd)/(a-b+cd)

brainly.in/question/14802463

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HOPE THIS HELPS