Question

Разложить на множители y^5-x^4

Answer 1

$y^5-x^4=(y^{5/2})^2-(x^2)^2=(y^{5/2}-x^2)\cdot (y^{5/2}+x^2)=\\\\=((y^{5/4})^2-x^2)\cdot (y^{5/2}+x^2)=(y^{5/4}-x)(y^{5/4}+x)(y^{5/2}+x^2)$