Задание
Для любых чисел \(\displaystyle t,\, u,\, v\) и \(\displaystyle w\) найдите показатели степеней выражения, если \(\displaystyle (v+w+t)\,\cancel{=}\, 0\):
\(\displaystyle (t+u+v)^{15}\cdot (u+v+w)^{13} \cdot (t+u+v)^{2}\cdot (u+v+w)^{3}\cdot (t+u+v)^{4}\cdot (u+v+w)=\) |
\(\displaystyle = (v+w+t)\) | [ ] | \(\displaystyle \cdot \,\,(t+u+v)\) | [ ] | \(\displaystyle \cdot \,\,(u+v+w)\) | [ ] |