1) (18a-3a²)/(8a²-48a)=3a(6-a)/8a(a-6)=3a(-1)(a-6)/8a(a-6)=-3/8
2) (8p-40)/(15-3p)=8(p-5)/3(5-p)=8(-1)(5-p)/3(5-p)=-8/3
3) (4-x²)/(10-5x)=(2-x)(2+x)/5(2-x)=(2+x)/5=2/5+x/5=0.4+0.2x
4) (3x+6y)²/(5x+10y)=9(x+2y)²/5(x+2y)=9(x+2y)/5=1.8(x+2y)=1.8x+3.6y
5) (ax+bx-ay-by)/(bx-by)=(x(a+b)-y(a+b))/b(x-y)=(a+b)(x-y)/b(x-y)=(a+b)/b=a/b+1
6) (a²-6a+9)/(27-a³)=(a-3)²/(3-a)(9+3a+a²)=(a-3)²/(-1)(a-3)(9+3a+a²)= =(3-a)/(9+3a+a²)
7) (2a-2b)²/(a-b)=4(a-b)²/(a-b)=4(a-b)=4a-4b
8) (4c+12d)²/(c+3d)=16(c+3d)²/(c+3d)=16(c+3d)=16c+48d
9) (4x²-y²)/(6x-3y)²=(2x-3y)(2x+3y)/9(2x-y)²=(2x+y)/9(2x-y)
10) (ab-3b-2a+6)/(15-5a)=(b(a-3)-2(a-3))/5(3-a)=(a-3)(b-2)/5(3-a)= =(a-3)(b-2)/5(-1)(a-3)=(2-b)/5
Объяснение:
1) (18a-3a²)/(8a²-48a)=3a(6-a)/8a(a-6)=3a(-1)(a-6)/8a(a-6)=-3/8
2) (8p-40)/(15-3p)=8(p-5)/3(5-p)=8(-1)(5-p)/3(5-p)=-8/3
3) (4-x²)/(10-5x)=(2-x)(2+x)/5(2-x)=(2+x)/5=2/5+x/5=0.4+0.2x
4) (3x+6y)²/(5x+10y)=9(x+2y)²/5(x+2y)=9(x+2y)/5=1.8(x+2y)=1.8x+3.6y
5) (ax+bx-ay-by)/(bx-by)=(x(a+b)-y(a+b))/b(x-y)=(a+b)(x-y)/b(x-y)=(a+b)/b=a/b+1
6) (a²-6a+9)/(27-a³)=(a-3)²/(3-a)(9+3a+a²)=(a-3)²/(-1)(a-3)(9+3a+a²)= =(3-a)/(9+3a+a²)
7) (2a-2b)²/(a-b)=4(a-b)²/(a-b)=4(a-b)=4a-4b
8) (4c+12d)²/(c+3d)=16(c+3d)²/(c+3d)=16(c+3d)=16c+48d
9) (4x²-y²)/(6x-3y)²=(2x-3y)(2x+3y)/9(2x-y)²=(2x+y)/9(2x-y)
10) (ab-3b-2a+6)/(15-5a)=(b(a-3)-2(a-3))/5(3-a)=(a-3)(b-2)/5(3-a)= =(a-3)(b-2)/5(-1)(a-3)=(2-b)/5
Объяснение:
2)9,98^2=(a-b)^2=(10-0,02)^2=10^2-2*10*0,02+0,0004= 99,6004
3)37^2+2*37*63+63^2 = (a+b)^2 = (37+63)^2=100^2=10 000
4)83^2+33^2-83*66 =83^2+33^2-2*83*33= a^2+b^2-2ab=(a-b)^2=(83-33)^2=50^2=2500
5)19,3^2+2*19,3*30,7+30,7^2=(19,3+30,7)^2=50^2=2500
6)31,8^2-2*31,8*21,8+21,8^2=(31,8-21,8)^2=10^2=100
7)99*101=(100-1)*(100+1)=100^2-1^2=10000-1=9999
10)201*199=(200+1)*(200-1)=200^2-1^2=40000-1=39999
11)126^2-74^2=(126-74)*(126+74)=52*200=10 400
12)356^2-144^2=(356-144)*(356+144)=212*500=106000