Question

Разложи на множители:
у³+z³-yz(y+z)=

​

Answer 1

Ответ:

$(y+z)(y-z)^{2}$

Объяснение:

$y^{3}+z^{3}-yz(y+z)=(y+z)(y^{2}-yz+z^{2})-yz(y+z)=(y+z)(y^{2}-yz+z^{2}-yz)=$

$=(y+z)(y^{2}-2yz+z^{2})=(y+z)(y-z)^{2};$