Question

Представить многочлен в виде произведения

Answer 1

(1/4 х^2-xy+y^2)-t^2*y=(1/2 x- y)^2-(t*y^(1/2))^2=[1/2 x- y -t*y^(1/2)]*[1/2 x- y -t*y^(1/2)]

Answer 2

$\frac{1}{4} x^{2}+y^2-xy -t^2=( \frac{1}{4} x^2-xy+y^2)-t^2=( \frac{1}{2} x-y)^2-t^2=$$( \frac{1}{2} x-y-t)( \frac{1}{2} x-y+t)$