Real linear factors

Shew that the expression $A (x^{2} - y^{2}) - x y (B - C)$ always admits of two real linear factors.

~10 minProof · checked by AIquadratic equationsdiscriminantreal factors

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.c, No. 3

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.