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Doprowadź do najprostszej postaci:



a) – ( 2a – 3b + 5 ) + ( 4a – 7b + 3 ) – ( – 3a – 2b – 1 ) =





b) ( 4a + 2b – 7 ) – ( a – 3b – 4 ) – ( 2a – b – 3 ) =





c) 2 ( 3a – 4b + c ) – 5 ( 3a + b – 2c ) =





d) – 7 ( 2a + 3b ) – 9 ( a – 2b ) – 3 ( 3a + 4b ) =



Odpowiedź :

Odpowiedź:

(a) – ( 2a – 3b + 5 ) + ( 4a – 7b + 3 ) – ( – 3a – 2b – 1 ) = -2a + 3b - 5 + 4a  - 7b + 3 + 3a + 2b +1 = 5a - 2b - 1

(b) ( 4a + 2b – 7 ) – ( a – 3b – 4 ) – ( 2a – b – 3 ) =  4a + 2b - 7 - a + 3b + 4 - 2a + b + 3 = a + 6b

(c) 2 ( 3a – 4b + c ) – 5 ( 3a + b – 2c ) =  6a - 8b + 2c - 15a - 5b + 10c = -9a - 13b + 12c

( d) – 7 ( 2a + 3b ) – 9 ( a – 2b ) – 3 ( 3a + 4b ) = -14a - 21b - 9a + 18b - 9a -12b= -32a - 15b

Odpowiedź:

[tex]a)\\\\-(2a-3b+5)+(4a-7b+3)-(-3a-2b-1)=-2a+3b-5+4a-7b+3+3a+2b+1=\\=5a-2b-1\\\\\\b)\\\\(4a+2b-7)-(a-3b-4)-(2a-b-3)=4a+2b-7-a+3b+4-2a+b+3=\\\\=a+6b\\\\\\c)\\\\2(3a-4b+c)-5(3a+b-2c)=6a-8b+2c-15a-5b+10c=-9a-13b+12c\\\\\\d)\\\\-7(2a+3b)-9(a-2b)-3(3a+4b)=-14a-21b-9a+18b-9a-12b=\\\\=-32a-15b[/tex]