Question

Разложи на множители xm^10+xh^10−hm^10−h^11 Ответ: (x − _)⋅(_- + h-)

Answer 1

$\displaystyle \tt xm^{10}+xh^{10}-hm^{10}-h^{11}=(xm^{10}-hm^{10})+(xh^{10}-h\cdot h^{10})=\\\\=m^{10}(x-h)+h^{10}(x-h)=(x-h)(m^{10}+h^{10});$