Question

даю 60 баллов.......​

Answer 1

$\displaystyle\bf\\1)\\\\m^{2} n+mn+n=n\cdot(m^{2}+m+1)\\\\2)\\\\3x^{6} +6x^{5} -15x^{4} =3x^{4} \cdot x^{2} +3x^{4} \cdot 2x-3x^{4}\cdot 5=\\\\=3x^{4} \cdot(x^{2} +2x-5)\\\\3)\\\\7a^{4} b^{3} -14a^{3} b^{4}+21a^{2} b^{5} =\\\\=7a^{2} b^{3}\cdot a^{2} -7a^{2} b^{3} \cdot2ab+7a^{2} b^{3} \cdot 3b^{2} =\\\\=7a^{2} b^{3} \cdot(a^{2} -2ab+3b^{2} )\\\\4)\\\\20b^{6} c^{5} -45b^{5} c^{6} -30b^{5} c^{5} =\\\\=5b^{5} c^{5} \cdot 4b-5b^{5} c^{5} \cdot 9c-5b^{5} c^{5} \cdot 6=$

$\displaystyle\bf\\=5b^{5} c^{5} \cdot(4b-9c-6)$