← Olympiad Algebra Next chapter: Pinned down by very little →
Chapter 4
Same degree everywhere
When every term has the same degree, scale doesn't matter: fix one variable, or use the condition to lift every term to the same degree.
1
Scale doesn't matter
Every term of (a² + b²)/ab has degree 2 on top and 2 below. Drag the corner: the rectangle grows, the ratio doesn't.