Autorzy:Jacek Lech, Marek Pisarski , Marcin Braun
Wydawnictwo:GWO
Rok wydania:2015
Zapisz w jak najprostszej postaci. 4.6 gwiazdek na podstawie 15 opinii

Zapisz w jak najprostszej postaci.

4Zadanie
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8Zadanie

`a) \ a(a+b)+a(a-b)+b(b+a)+b(b-a)=` 
`\ \ \ =ul(a^2)+ab+ul(a^2)-ab+ul(ul(b^2))+ba+ul(ul(b^2))-ba=2a^2+2b^2` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`b) \ 2x(x-2y)-y(2x-y)+x(x-2y)-2y(x-y)=` 
`\ \ \ =ul(2x^2)-4xy-2xy+ul(ul(y^2))+ul(x^2)-2xy-2xy+ul(ul(2y^2))=3x^2+3y^2-10xy` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`c) \ -2(x-2y+3z)+3(2x-3y+4z)-(x-y-z)=` 
`\ \ \ =-ul(2x)+ul(ul(4y))-6z+ul(6x)-ul(ul(9y))+12z-ul(x)+ul(ul(y))+z=3x-4y+7z` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`d) \ 2a(3a-5b)+b(4a+2b)-3(2a^2-b^2)=` 
`\ \ \ =ul(6a^2)-10ab+4ab+ul(ul(2b^2))-ul(6a^2)+ul(ul(3b^2))=5b^2-6ab` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`e) \ 8x(x+y)-2y(y-x)+1/2(6y^2+8x^2)-2(y^2+5xy)=` 
`\ \ \ =ul(8x^2)+8xy-ul(ul(2y^2))+2xy+ul(ul(3y^2))+ul(4x^2)-ul(ul(2y^2))-10xy=12x^2-y^2` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`f) \ 1/2a(a+1)-2(a^2/4-a/2)=1/2a^2+1/2a-(strike2^1a^2)/strike4^2+(strike2^1a)/strike2^1=` 
`\ \ \ =ul(1/2a^2)+1/2a-ul(1/2a^2)+a=3/2a` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`g) \ 1/3a(a+1)-4(1/3a^2-1/12a)-a(1-a)=` 
`\ \ \ =1/3a^2+1/3a-4/3a^2+strike4^1/strike12^3a-a+a^2=` 
`\ \ \ =ul(1/3a^2)+1/3a-ul(4/3a^2)+1/3a-a+ul(a^2)=-1/3a` 
`ul(ul( \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ))` 


`h) \ 0,3x(20x-3)-4x(0,2x+0,5)+10x(0,7-0,4x)=` 
`\ \ \ =ul(6x^2)-0,9x-ul(0,8x^2)-2x+7x-ul(4x^2)=1,2x^2+4,1x`