Question

Раскрыть скобки и превести подобные члены:
1. 4+3+(((x+1)-2x)+3x)-(2x-(x-4))+3x-7+x
2. a+(2b-c(-2+3))-(a-(a-2b)-3c)+2(a+c-b)
3. ((2x-y)-3y-1)+((1-(2x-y)+(x+y)-2)-x+(y-3x))
4. a+(b-(c-d))-(a-(b-(c-d)))+(a+2b-(a-b))
5. (m-(mn-2m))-3mn+2m-((1-(2-(3-mn-m)))-2)

Answer 1

$4+3+(((x+1)-2x)+3x)-(2x-(x-4))+3x-7+x= \ 7+x+1-2x+3x-2x+x-4=4+x$
$a+(2b-c(-2+3))-(a-(a-2b)-3c)+2(a+c-b)= \ =a+2b+2c-3c-(a-a+2b-3c)+2a+2c-2b= \ a+2b+2c-3c-a+a-2b+3c+2a+2c-2b= \ 3a-2b+4c$
$((2x-y)-3y-1)+((1-(2x-y)+(x+y)-2)-x+(y-3x))= \ 2x-y-3y-1+1-2x+y+x+y-2-x+y-3x= \ -3x-y-2$
$a+(b-(c-d))-(a-(b-(c-d)))+(a+2b-(a-b))= \ a+b-c+d-(a-b+c-d)+a+2b-a+b= \ a+b-c+d-a+b-c+d+a+2b-a+b=5b+2d-2c$
$(m-(mn-2m))-3mn+2m-((1-(2-(3-mn-m)))-2)= \ =m-mn+2m-3mn+2m-(1-2+3-mn-m-2)= \ =m-mn+2m-3mn+2m-1+2-3+mn+m+2= \ 6m-3mn=3m(2-n)$