Question

Решите дам лучший ответ )))

Answer 1

г)

$\displaystyle\bf\\5a^{3} c+10a^{2} -6bc-3abc^{2} =(5a^{3} c+10a^{2}) -(6bc+3abc^{2} )=\\\\=5a^{2} \cdot(ac+2)-3bc\cdot(2+ac)=(ac+2)\cdot(5a^{2} -3bc)\\\\a)\\\\an^{2} +cn^{2} -ap+ap^{2} -cp+cp^{2} =\\\\=(an^{2} +cn^{2}) -(ap+cp)+(ap^{2} +cp^{2}) =\\\\=n^{2} \cdot(a+c)-p\cdot(a+c)+p^{2} \cdot(a+c)=\\\\=(a+c)\cdot(n^{2} -p+p^{2} )$

б)

$\displaystyle\bf\\3a^{3} +5abc+6ab^{2} -3a^{3} c-15a^{2} b-2b^{2} c=$?

плохо видно

в)

$\displaystyle\bf\\x^{5} -x^{4} +x^{3} -x^{2} +x-1=\\\\=(x^{5} -x^{4} )+(x^{3} -x^{2}) +(x-1)=\\\\=x^{4} \cdot(x-1)+x^{2} \cdot(x-1)+(x-1)=\\\\=(x-1)\cdot(x^{4} +x^{2} +1)$