Question

wykonaj redukcję wyrazów podobnych i oblicz wartość liczbową każdego wyrażenia dla a=-3, b=-1/6, c = 2

d)-2a^(do potęgi 3)b^(do pot 2)c+2ab^(do pot 2)c^(do pot 3) -3a^(do pot 2)b^(do pot 2)c^(do pot 2)+4a^(do pot 3)b^(do pot 2)c
e) 0.6b^(do pot 2)c-0.2a^(do pot 2)b+1.4cb^(do pot 2)-0.8ba^(do pot 2)-1/9
f) -3abc^(do pot 3)+2ba^(do pot 2)c-6c^(do pot 3)ab-4a^(do pot 2)bc - bac^(do pot 2)

Answer 1

d)

-2a^3b^2c + 2ab^2c^3 - 3a^2b^2c^2 + 4a^3b^2c

2a^3b^2c + 2ab^2c^3 - 3a^2b^2c^2

[2 * (-3)^3 * (-1/6)^2 * 2] + [2 * (-3) * (-1/6)^2 * 2^3] - [3 * (-3)^2 * (-1/6)^2 * 2^2]

[2 * (-27) * 1/36 * 2] + [(-6) * 1/36 * 8] - [3 * 9 * 1/36 * 4]

[(-49) * 2/36] + (-8/6) - (27 * 4/36)

(-98/36) - 48/36 - 108/36

-254/36

-7 i 1/18

 

e)

0,6b^2c - 0,2a^2b + 1,4cb^2 - 0,8ba^2 - 1/9

[0,6 * (-1/6)^2 * 2] - [0,2 * (-3)^2 * (-1/6)] + [1,4 * 2 * (-1/6)^2] - [0,8 * (-1/6) * (-3)^2] - 1/9

(1,2 * 1/36) - 2/36 - [1,8 * (-1/6)] + (2,8 * 1/36) - [7,2 * (-1/6)] - 1/9

(6/5 * 1/36) - 2/36 - [9/5 * (-1/6)] + (14/5 * 1/36) - [36/5 * (-1/6)] - 1/9

1/30 - 1/18 + 3/10 + 7/90 + 6/5 - 1/9

3/90 - 5/90 + 27/90 + 7/90 + 108/90 - 10/90

130/90

1 i 40/90

1 i 4/9

 

f)

-3abc^3 + 2ba^2c - 6c^3ab - 4a^2bc - bac^2

-9abc^3 - 2a^2bc - bac^2

[(-9) * (-3) * (-1/6) * 2^3] - [2 * (-3)^2 * (-1/6) * 2] - [(-1/6) * (-3) * 2^2]

[216 * (-1/6)] - [36 * (-1/6)] - [(-1/6) * (-12)]

(-216/6) + 36/6 - 12/6

-192/6

-32

 

 

kazda nastepna linijka to dzialanie po znaku rownosci (=)