Zadanie w załączniku :)
Grafy
Zadanie 15.
a)(2a-b)(a-7b)(5-c)=(2a²-14ab-ab+7b²)(5-c)=(5-c)(2a²-15ab+7b²)=10a²-75ab+35b²-2a²c+15abc-7b²c
b)-(a-1)(c-2)(b+3)=-(ac-2a-c+2)(b+3)=-(abc-2ab-bc+2b+3ac-6a-3c+6)=-abc+2ab+bc-2b-3ac+6a+3c-6
c)(a-3)(b-1)(c+8)=(ab-a-3b+3)(c+8)=abc-ac-3bc+3c+8ab-8a+24b+24
d)z(y-2)(3x-1)(y-4)=z(3xy-y-6x+2)(y-4)=z(3xy²-y²-6xy+2y-12xy+4y+24x-8)=3xy²z-y²-6xyz+2yz-12xyz+4yz+24xz-8z
Zadanie Graf I. A=2(c+1)=2c+2B=A*(a+2)=(2c+2)(a+2)=2ac+4c+2a+4
II.
C=(c+1)(a+2)=ac+2c+a+2D=C*2=2(ac+2c+a+2)=2ac+4c+2a+4
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Zadanie 15.
a)(2a-b)(a-7b)(5-c)=(2a²-14ab-ab+7b²)(5-c)=(5-c)(2a²-15ab+7b²)=10a²-75ab+35b²-2a²c+15abc-7b²c
b)-(a-1)(c-2)(b+3)=-(ac-2a-c+2)(b+3)=-(abc-2ab-bc+2b+3ac-6a-3c+6)=-abc+2ab+bc-2b-3ac+6a+3c-6
c)(a-3)(b-1)(c+8)=(ab-a-3b+3)(c+8)=abc-ac-3bc+3c+8ab-8a+24b+24
d)z(y-2)(3x-1)(y-4)=z(3xy-y-6x+2)(y-4)=z(3xy²-y²-6xy+2y-12xy+4y+24x-8)=3xy²z-y²-6xyz+2yz-12xyz+4yz+24xz-8z
Zadanie Graf
I.
A=2(c+1)=2c+2
B=A*(a+2)=(2c+2)(a+2)=2ac+4c+2a+4
II.
C=(c+1)(a+2)=ac+2c+a+2
D=C*2=2(ac+2c+a+2)=2ac+4c+2a+4