Question

Умножение многочлена на одночлен

Answer 1

$a)3x^2-15x-5x^2-15x=-2x^2-30x=-2x(x+15) \\ b)2xy-2y^2+3y^2-2xy=y^2 \\ c)2a^2-2ab+2ab+2b^2=2a^2+2b^2=2(a^2+b^2) \\ d)24cp+3p-24cp+40c=40c+3p$

Answer 2

$1)3x(x-5)-5x(x+3)=3 x^{2} -15x-5 x^{2} -15x= \\ =-2 x^{2} -30x=-2x( x +15) \\ \\ 2) 2y(x-y)+y(3y-2x)=2xy-2y^2+3y^2-2xy=y^2 \\ \\ 3)2a(a-b)+2b(a+b)=2a^2-2ab+2ab+2b^2= \\ =2a^2+2b^2=2(a^2+b^2)$


$4)3p(8c+1)-8c(3p-5)=24cp+3p-24cp+40c= \\ =3p+40c$