f07dd282-tored-into-binomials-with-real-coefficients-using-the-difference-of-squ

Question

Why can the sum $$x2+y2x^2$+y^2$$ not be factored into binomials with real coefficients using the difference-of-squares rule?

Accepted Answer

Because the difference‑of‑squares rule applies to a2−$$b2a^2-b^2$, not a2+b2a^2$+b^2$$

Answer

Because xx and yy must be equal for factoring to work

Answer

Because one of the terms must be a negative square

Answer

Because $$x2+y2x^2$+y^2$$ factors only when xx and yy are constants

Why can the sum x2+y2x^2+y^2 not be factored into binomials with real coefficients using the difference-of-squares rule?