Question

Выполните умножение многочленов

Answer 1

$1)\ \ (0,2x+0,2y-z)(x-y)=\Big(0,2(x+y)-z\Big)(x-y)=\\\\=0,2(x+y)(x-y)-z(x-y)=0,2(x^2-y^2)-xz+yz=\\\\=0,2x^2-0,2y^2-xz+yz\\\\\\2)\ \ (0,3x-0,3y+z)(x+y)=\Big(0,3(x-y)+z\Big)(x+y)=\\\\=0,3(x-y)(x+y)+z(x+y)=0,3(x^2-y^2)+xz+yz=\\\\=0,3x^2-0,3y^2+xz-yz$

$3)\ \ (a-b)(a+b)(a-3b)=(a^2-b^2)(a-3b)=a^3-3a^2b-ab^2+3b^3\\\\4)\ \ (a+b)(a-b)(a+3b)=(a^2-b^2)(a+3b)=a^3+3a^2b-ab^2-3b^3\\\\5)\ \ (x+3)(2x-1)(3x+2)=(2x^2+5x-3)(3x+2)=\\\\=6x^3+4x^2+15x^2+10x-9x-6=6x^3+19x^2+x-6\\\\6)\ \ (x-2)(3x+1)(4x-3)=(3x^2-5x-2)(4x-3)=\\\\=12x^3-9x^2-\\{}\qquad \quad -20x^2+15x-\\{}\qquad \qquad \qquad \ -8x+6=12x^3-29x^2+7x+6$