Question

Розкласти на множники x³+x²y+x²+xy

Answer 1

$\displaystyle\bf\\x^{3}+x^{2} y+x^{2} +xy=( x^{3}+x^{2} y)+(x^{2} +xy)=\\\\\\=x^{2} \cdot(x+y)+x\cdot(x+y)=(x+y)\cdot(x^{2} +x)=\\\\\\=x\cdot(x+y)\cdot(x+1)$