M a sh q l a r

 

         Ko‘phadlarning algebraik yig‘indisini toping (262–267):     

 

262.                 1) 8a+(–3b+5a);            3) (6a–2b)–(5a+3b);

2) 5x–(2x–3y);                4) (4x+2)+(–x–1).

 

263.                 1) 3x2–(4x2+2y);             3) 0,6a2–(0,5a2–0,4a);

2) 2a2(b2–3a2);             4) .

 

264.                 1) (2)+();

              2) (0,1c–0,4c2)–(0,1c–0,5c2);

              3) (13x–11y+10z)–(–15x+10y–15z);

              4) (17a+12b–14c)–(11a–10b–14c).

 

265.                 1) (7m2–4mnn2)–(2m2mn+n2);

              2) (5a2–11ab+8b2)+(–2b2–7a2+5ab);

              3) 11ac+13bc+17b2–(10ac+10bc–3b2);

              4) 41z+13az+26az2–(16z+13az–4az2).

 

266.                 1) ;

              2) (0,3a–1,2b)+(a–b)–(1,3a–0,2b);

              3) 11p32p2(p3–p2)+(–5p2–3p3);

             4) 5x2+6x3+(x3x2)–(–2x3+4x2).

 

267.                 1) (–2x3+xy2)+(x2y–1)+(x2yxy2+3x3);

               2) (3x2+5xy+7x2y)–(5xy+3x2)–(7x2y–3x2);

               3) (8a2–10abb2)+(–6a2+2ab–b2)–(a2–8ab+4b2);

               4) (4a2–2abb2)–(–a2–2ab+b2)+(3a2ab+b2).

 

268.                 Ko‘phadlarning yig’indisi va ayirmasini toping:

1) 0,1x2+0,02y2  va  0,17x2–0,08y2;

2) 0,1x2–0,02y2  va  –0,17x2+0,08y2;

3) a3–0,12b3   va  0,39a3b3;

4) a3+0,12b3   va  –0,39a3+b3;

 

269.                 Ko‘phadlarning yig’indisini “ustuncha” usulda toping:

1) 3ab+a2–2b2   va  2a2–3ab;

2) 3x2+2xy–4y2   va  4y2–2xy+3x2y2x3.

 

270. Ko’phadlarning ayirmasini ustunusulida toping:

1) 3a2+8a–4   va  3+8a–5a2ab;

2) b3–3b2+4b   va  b+2b2+b3.

 

271.                 1) Agar P=5a2+b,  Q = –4a2 b bo‘lsa, P+Q ifoda nimaga teng?

2) Agar P=2p2–3q3,  Q =2p2 –4q3 bo‘lsa, PQ ifoda nimaga teng?

3) Agar A=a2b2+ab,  B =2a2 –3ab–5b2, C = –4a2+2ab–3b2 bo‘lsa, A+B+C ni toping;

4) Agar A=2a2–3ab+4b2,  B =3a2 +4abb2, C = a2+2ab+3b2 bo‘lsa, A–B+C ni toping.

 

272.                 Isbotlang:

1) beshta ketma-ket natural sonning yig‘indisi 5 ga bo‘linadi;        

2) to‘rtta ketma-ket natural sonning yig‘indisi 4 ga bo‘linmaydi;

3) to‘rtta ketma-ket toq natural sonning yig‘indisi 8 ga bo‘linadi;

4) to‘rtta ketma-ket juft natural sonning yig‘indisi 4 ga bo‘linadi.

 

273.                 Avtobusda n nafar yo‘lovchi bor edi. Dastlabki ikki bekatning har birida m nafardan yo‘lovchi avtobusdan tushdi, uchuinchi bekatda esa hech kim tushmadi, lekin bir necha kishi avtobusga chiqdi, shundan so‘ng avtobusdagi yo‘lovchilar soni k nafar bo‘ldi. Uchinchi bekatda avtobusga necha kishi chiqqan?