Question

If a/b=c/d=e/f prove that a²/b²+c²/d²+e²/f² = ac/bd+ce/df+ae/bf

Answer 1

First, we can observe that ac/bd, ce/df, and ae/bf are multiplication.

Since each number is equal, we can let a/b=c/d=e/f=N.

We now have N²+N²+N²=N×N+N×N+N×N.