Question

Поготи упростить выражение. С объяснением. ​

Answer 1

$3\underline {(x+1)}+\underline {(x+1)}=\underline {(x+1)}(3+1)=4(x+1)\\\\\\\underline {(a-2)}-2\underline {(a-2)}=\underline{(a-2)}(1-2)=-(a-2)\\\\\\3\underline {x}(x-2)-5\underline{x}(x+3)=\underline{x}\cdot \Big(3(x-2)-5(x+3)\Big)=x\cdot (3x-6-5x-15)=\\\\=x\, (-2x-21)=-x(2x+21)\\\\\\2\underline {y}(x-y)+\underline {y}(3y-2x)=\underline{y}\cdot \Big(2(x-y)+(3y-2x)\Big)=y\cdot (2x-2y+3y-2x)=y\cdot y=y^2\\\\\\m(m^2-m)+(m^2-m+1)=m^3\underline {-m^2+m^2}-m+1=m^3-m+1$

$5n^2(3n+1)-2n(5n^2-3)=15n^3+5n^2-10n^3+6n=5n^3+5n^2+6n=\\\\=n\, (5n^2+5n+6)$