[tex]g)\\\\\frac13a(a+1)-4(\frac13a^2-\frac1{12}a)-a(1-a)=\\\frac13a^2+\frac13a-\frac43a^2+\frac4{12}a-a+a^2=\\-\frac33a^2+a^2+\frac13a+\frac13a-a=\\\frac23a-\frac33a=-\frac13a[/tex]
[tex]h)\\\\0.3x(20x-3)-4x(0.2x+0.5)+10x(0.7-0.4x)=\\6x^2-0.9x-0.8x^2-2x+7x-4x^2=\\2x^2-0.8x^2-2.9x+7x=\\1.2x^2+4.1x[/tex]
Zad. 4
[tex]a)\\(14p+6):2=\frac{14p+6}2=\frac{2(7p+3)}2=7p+3\\\\b) \\(15m-25n):5=\frac{15m-25n}5=\frac{5(3m-5n)}5=3m-5n\\\\c)\\\frac{9t-6}3=\frac{3(3t-2)}3=3t-2\\\\d)\\\frac{8a+4b}4=\frac{4(2a+b)}4=2a+b\\\\e)\\(6x+30y-12):6=\frac{6x+30y-12}6=\frac{6(x+5y-2)}6=x+5y-2\\\\f)\\(8n^2-10n-6):(-2)=\frac{8n^2-10n-6}{-2}=\frac{-2(-4n^2+5n+3)}{-2}=-4n^2+5n+3\\\\g)\\\frac{20a-5b+35}5=\frac{5(4a-b+7)}5=4a-b+7\\\\h)\\\frac{9w^2-12w+3}{-3}=\frac{-3(-3w^2+4w+1)}{-3}=-3w^2+4w+1[/tex]
Zad. 5
[tex]a)\\\\\frac{18x+81}9+3x-10=\frac{9(2x+9)}9+3x-10=2x+9+3x-10=5x-1\\\\b)\\\\\frac{5-40a}5-2a+6=\frac{5(1-8a)}5-2a+6=1-8a-2a+6=7-10a\\\\c)\\-3m+5+\frac{2m-8}2=-3m+5+\frac{2(m-4)}2=-3m+5+m-4=-2m+1\\\\d)\\\\2p-3-\frac{6-15p}3=2p-3-\frac{3(2-5p)}3=2p-3-(2-5p)=2p-3-2+5p=7p-5[/tex]
[tex]e)\\\\\frac{12n+16}4+\frac{7n-21}7=\frac{4(3n+4)}4+\frac{7(n-3)}7=3n+4+n-3=4n+1\\\\f)\\\\\frac{8+20y}4-\frac{12y+18}6=\frac{4(2+5y)}4-\frac{6(2y+3)}y=2+5y-(2y+3)=2+5y-2y-3=3y-1\\\\g)\\\\\frac{10t-6}2-\frac{10-35t}5=\frac{2(5t-3)}2-\frac{5(2-7t)}5=5t-3-(2-7t)=5t-3-2+7t=12t-5\\\\h)\\\\\frac{16d-8}8+\frac{6+9d}{-3}=\frac{8(2d-1)}8+\frac{-3(-2-3d)}{-3}=2d-1-2-3d=-d-3\\\\[/tex]
[tex]i)\\\\\frac{10-4s}{-4}-\frac{10s+15}{-5}=\frac{-2(-5+2s)}{-4}-\frac{-5(-2s-3)}{-5}=\frac{-5+2s}2-(-2s-3)=\frac{-5+2s}2-\frac{2(-2s-3)}2=\frac{-5+2s-(-4s-6)}2=\frac{-5+2s+4s+6}2=\frac{6s+1}2[/tex]
