1)-(-1/3 X+Y)+(1/6X-Y) (4) -1/2(5mn-2m²+3n²)+(-3/2mn+2m²+n²/2)(5)(a³+1/5a²b+3)-1/2(a²b-6)(2)(2S+1)-3(S²-S+2)(3) -2(a²b-1/4ab²+1/2a³)-(-2a²b+3ab²)

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1)-(-1/3 X+Y)+(1/6X-Y) (4) -1/2(5mn-2m²+3n²)+(-3/2mn+2m²+n²/2)(5)(a³+1/5a²b+3)-1/2(a²b-6)(2)(2S+1)-3(S²-S+2)(3) -2(a²b-1/4ab²+1/2a³)-(-2a²b+3ab²)

1)-(-1/3 X+Y)+(1/6X-Y) (4) -1/2(5mn-2m²+3n²)+(-3/2mn+2m²+n²/2)(5)(a³+1/5a²b+3)-1/2(a²b-6)(2)(2S+1)-3(S²-S+2)(3) -2(a²b-1/4ab²+1/2a³)-(-2a²b+3ab²)
1)-(-1/3 X+Y)+(1/6X-Y) (4) -1/2(5mn-2m²+3n²)+(-3/2mn+2m²+n²/2)
(5)(a³+1/5a²b+3)-1/2(a²b-6)
(2)(2S+1)-3(S²-S+2)
(3) -2(a²b-1/4ab²+1/2a³)-(-2a²b+3ab²)
(6)-3(1/2X³-1/3Y³+2(1/3³-1/2Y³+1/4

1)-(-1/3 X+Y)+(1/6X-Y) (4) -1/2(5mn-2m²+3n²)+(-3/2mn+2m²+n²/2)(5)(a³+1/5a²b+3)-1/2(a²b-6)(2)(2S+1)-3(S²-S+2)(3) -2(a²b-1/4ab²+1/2a³)-(-2a²b+3ab²)
1)-(-1/3 X+Y)+(1/6X-Y)
1/3X-Y+1/6X-Y=1/2X-2Y
(2)(2S+1)-3(S²-S+2)
2S+1-3S²+3S-6=3S²+5S-5
(3) -2(a²b-1/4ab²+1/2a³)-(-2a²b+3ab²)
-2a²b+1/2ab²-a³+2a²b-3ab²=-(5/2ab²+a³)
(4) -1/2(5mn-2m²+3n²)+(-3/2mn+2m²+n²/2)
-5/2mn+m²-3/2n²-3/2mn+2m²+n²/2=-4mn+3m²-n²=(3m-n)(m-n)=6mn
(5)(a³+1/5a²b+3)-1/2(a²b-6)
a³+1/5a²b+3-1/2a²b+3=a³-3/10a²b+6
(6)-3(1/2X³-1/3Y³+2(1/3³-1/2Y³+1/4
-3/2X³+Y³-3/2+2/3X³-Y³+1/2=-(5/6X³+1)