Question

oblicz: (2x-3)(10x-5)= (10ax-)(10ax+3)= (2ay-3)(2ax+5)= (7a-3x)(12a-1)= (5x-8)(8y-12)= (12x+4)(2x-3)*5= (11x-3)(12x+8)= (5ayz-3)(5ayz+3)= (100x-7)(10x+1)= Zad2.wyciągnij przed nawias 10a-5y= 12ab-10a do 2= 8xy-8x do 2= 3a do 2 y-12a= 100a-5= 20x-30y=

Answer 1

Zad 1.

a) (2x-3)(10x-5)= 20x² -10x -30x +15 = 20x² -40x +15

b) (10ax)(10ax+3)= 100a²x² +30ax

c) (2ay-3)(2ax+5)= 4a²xy +10ay -6ax -15

d) (7a-3x)(12a-1)= 84a² -7a -36ax +3x

e) (5x-8)(8y-12)= 40xy -60x -64y + 96

f) (12x+4)(2x-3)*5= 5(24x² -36x +8x -12) = 5(24x² -28x -12) = 120x² -140x - 60

g) (11x-3)(12x+8)= 132x² + 88x - 36x -24 = 132x² + 52x - 24

h) (5ayz-3)(5ayz+3)= 25a²y²z² +15ayz -15ayz -9 = 25a²y²z² - 9

i) (100x-7)(10x+1)= 1000x² +100x - 70x -7 = 1000x² + 30x -7

Zad 2.

a)  10a-5y= 5(2a-y)

b) 12ab-10a²= 2a(6b-5a)

c) 8xy-8x²= 8x(y-x)

d) 3a²y-12a= 3a(ay-4)

e) 100a-5= 5(20a-1)

f) 20x-30y= 10(2x-3y)

Answer 2

a)  (2x-3)(10x-5)=20x²+10x-30x²+15=-10x²+10x+15

b)  (10ax)(10ax+3)=100ax²+30ax

c)  (2ay-3)(2ax+5)=4a²xy+10ay-6ax-15

d)  (7a-3x)(12a-1)= 84a²-7a-46ax+3x

e)  (5x-8)(8y-12)=40xy-60x-64y+96

f)  (12x+4)(2x-3)*5=(24x²-46x+8x-12)*5=(24x²-38x-12)*5=120x²-190x-60

g)  (11x-3)(12x+8)=132x²+88x-46x-24=132x²+42x-24

h)  (5ayz-3)(5ayz+3)=25ayz²+15ayz-15ayz-9=25ayz²-9

i)   (100x-7)(10x+1)=1000x²+100x-70x-7=1000x²+30x-7

2) 10a-5y=5(2a-y)

    12ab-10a=2a(6b-5)

    8xy-8x=2x(4y-4)

    3a=2(1,5a)

    y-12a=a(y-12)