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Ա)a-1/2a * (a+3/a+1 – a2-5/a2-1) = a-1/2a * (a+3/a+1 – a2-5/(a+1)(a-1)) = a-1/2a * ((a-1)*(a+3/a+1) – a2-5/(a+1)(a-1) = a-1/2a * a2-a+3a-3-a2+5/(a+1)(a-1) = a-1/2a * 2a+2/(a+1)(a-1) = a-1/2a * 2(a+1)/(a+1)(a-1) […]

Ա)2/3 & 4/5 2*5/3*5 & 4*3/5*3 10/15 & 12/15 Բ) 3/4 & 6/7 3*7/4*7 & 6*4/4*4 21/28 & 24/16 Գ)8/9 & 5/-9 8/9 & (-5)/9 Դ)4/5 & 3/-7 4/5 […]

Ա)ax-bx/cx+dx=x(a-b)/x(c+d)=a-b/c+d Բ)ac+bc/mc+nc=c(a+b)/c(m+n)=a+b/m+n Գ)x2/x2+xy=x2/x(x+y)=x/x+y Դ)ab/a-ab=ab/a(1-b)=b/1-b Ե)m2n/m2n-mn2=m2n/mn(m-n)=m/m-n Զ)ax-bx/xy+x2=x(a-b)/x(y+x)=a-b/y+x Է)p2-p/ap-bp=p(p-1)/p(a-b)=p-1/a-b Ա)3xy/3x2a-3x=3xy/3x(xa-1)=y/xa-1 Գ)3a2+4ab/9a2b-12ab2=a(3a+4b)/3ab(3a+4b)=1/3b Ե)2mn-6m2/12m2n-4mn2=2m(n-3m)/4mn(3m-n)=2m(n-3m)/-4mn(-3m+n)=2m/-4mn Ա)а2-b2/a+b=(a-b)(a+b)/a+b=a-b Բ)x-1/x2-1=(x-1)/(x-1)2=1/x-1 Գ)m2-n2/2m+2n=(m-n)(m+n)/2(m+n)=m-n/2 Դ)xm+xn/m2-n2=x(m+n)/(m-n)(m+n)=x/m-n Ե)x2-2x+1/x2-1=(x-1)2/(x-1)(x+1)=x-1/x+1 Զ)a2-b2/b2+2ab+a2=(a-b)(a+b)/(b+a)2=a-b/b+a Է)n2-m2/(n-m)2=(n-m)(n+m)/(n-m)=n-m Գ)x3-y3/x2-y2=x-y Ե)a2-4a+4/a2-4=(a-2)2/(a-2)(a+2)=a-2/a+2 Է)m2-n2/n3-m3=-m2+n2/n3-m3=n-m

Ա)4/8=1/2 Բ)8/12=2/3 Գ)45/210=2/19 Դ)256/924=64/231 Ե)2a/6=a/3 Զ)14a/21ab=2/3b Է)x5/x7=x/x2 Ը)8m3n/12m2=2mn/3 Ա)2(x+y)/4ax=(x+y)/2ax=x+y/2ax Բ)a+b/a+b=1 Գ)2(x-1)/5(x-1)=2/5 Դ)3a(a-b)2/6a(a-b)2=1/2 Ե)4x(x-y)3/16x2y(x-y)=(x-y)2/4xy Զ)25m2n(a-b)/35mn2(a-b)2=5m/7n(a-b) Ա)x-y/y-x=-(x-y)/y-x=-x+y/y-x=-1 Բ)2(a-b)/3(b-a)=-2(-a+b)/3(b-a)=-2/3 Գ)4mn(m-n)/2m(n-m)=2n(m-n)/(n-m)=-2n Դ)6a2b3(a-3)/14ab3(a-3)=3a/7 Ա)2x+2y/4=2(x+y)/4=x+y/2 Բ)3a+3b/6a=3(a+b)/6a=a+b/2a Գ)4m-4n/8mn=4(m-n)/8mn=m-n/2mn Դ)12ab/6a-6b=12ab/6(a-b)=2ab/a-b Ե)2a-2b/4a+4b=2(a-b)/4(a+b)=a-b/2(a+b) Զ)6x+6y/3x-3y=6(x+y)/3(x-y)=2(x+y)/x-y

Ա)x-1/1=x-1 Բ)3x+y/1=3x+y Գ)x2+3xy-y2=x2+3xy-y2 Դ)x2-2xy+y2/1=x2-2xy+y2 Ե)(x-y)6x/3x=(x-y)2 Զ)15(x+y)/5=3(x+y) Է)x2+2xy+y2/x+y=(x+y)2 Ը)x2-4xy+4y2/x-2y=(x-2y)2 Ա)1-a/a=-(1-a)/-a Բ)-(x)/x-3=-(-x)/x-3 Գ)x-y/x+y=-(-x+y)/x+y Դ)-(a2+1)/a-2=-(-a2-1)/a-2 Ե)a+b/a2+b2=-(-a-b)/a2+b2 Զ)-(1)/2x+3y=-(-1)/2x+3y Ա) 5/36=5*x2/36*x2 2/x2=2*36/x2*36 11/3x=11*12x/3x*12x 7/9×2=7*4/9×2*4 1/4x=1*9/4x*9x Բ) 1/20y=1*x2/20y*x2 5/x2=5*20y/x2*20y 7/20=7*x2y/20*x2y 11/2x=11*10xy/2x*xy 3/5xy=3*4x/5xy*4x Ա)A=2*6a3/4a=3a2 Բ)A=48xy*x/12x2y=48/12=4 Գ)A=3a2(x+y)*4b/12ab(x+y)=3a*3a=(3a)2 […]

Ա)(ab)-3 Բ)73*2-3=(7/2)3 Ա)a6*6-15 Բ)a14*b-4 Գ)a12*b20 Ա)27 Բ)57 Գ)46 Դ)78 Ե)315 Զ)613 Է)116 Ը)916 Ա)a9 Բ)a11 Գ)a11 Դ)a8 Ե)a2 Զ)a10 Ա)21 Բ)3-1 Գ)58 Դ)102 Ե)5-6=1/56 Զ)82 Ա)a4 Բ)a-4 Գ)a5 Դ)a8 […]

Ա)1-1=1, -11=-1, (-1)1=-1, (-1)-1=1, -1-1=1 Բ)1-2=1/12, -12=1, (-1)2=1, (-1)-2=1/12, -1-2=1 Գ)2-2=1/4, -22=-4, (-2)2=4, (-2)-2=1/4, -2-2=4 Ա)4-2=1/16 Բ)3-1=1/3 Գ)3-4=1/81 Դ)7.120=1 Ե)5-1+4-1=1/5+1/4=4/20+5/20=9/20 Զ)(5+4)-1=1/9 Է)4-1-5-1=5/20-4/20=1/20 Թ)2-3+4-2=1/8+1/16=2/16+1/16=3/16 Ժ)3-2-9-1=1/9-1/9=0 Ի)42*2-3=16*1/8=2*1/1=2*1=2 Ա)1 = 1 Բ)1/25 […]

Ա)1-1=1, -11=-1, (-1)1=-1, (-1)-1=1, -1-1=1 Գ)2-2=1/4, -22=-4, (-2)2=4, (-2)-2=1/4, -2-2=4 Ա)4-2=1/16 Գ)3-4=1/81 Ե)5-1+4-1=1/5+1/4=4/20+5/20=9/20 Է)4-1-5-1=5/20-4/20=1/20 Թ)2-3+4-2=1/8+1/16=2/16+1/16=3/16 Ի)42*2-3=16*1/8=2*1/1=2*1=2 Ա)1 = 1 Գ)-8 < 1 Ե)16 > 1/16 Ա)1/23>0 Գ)1/(-2)3<0 Ե)1/24>0 Ա)а7 […]

Ա)1 Բ)1 Գ)1 Դ)1 Ա)24/23=24-3=21=2 Բ)24/24=20=1 Գ)24/25=2-1=1/2 Դ)25/27=2-2=1/4 Ե)35/34=31=3 Զ)3100/3100=30=1 Է)(-0.3)4/(-0.3)5=-0.3-1 Ը)0.27/0.25=0.22=0.04 Ա)23 Բ)28 Գ)3-2 Դ)22 Ե)3-1 Զ)3-4 Է)51 Ը)4-2 Թ)25-1 Ժ)20=1 Ի)92 Լ)0.5-1=1/0.5=2 Խ)(-1/5)-4 Ա)104=10000, 103=1000, 102=100, 101=10, […]