Sh. A. Alimov, O. R. Xolmuhamedov, M. A. Mirzaahmedov

412.	1	9a^2 - 6a +1;		3)
36b^2 + l2b + l;
	2	l + 2c + c^2;		4)	81-18x + x^2.
413.	1	9x^2 + 24*+ 16;		3)	36m^2 +I2mn + n^2]
	2	100-60а + 9я^2;		4)	a^2 + \0ab + 25b^2.
414.	1	л:^4 +2x'y + у^2;		3)	4c^A +\2c^2b^3 + 9b^6;
	2	P^A -2p^2g + g^2;		4)	25a^b + 30a^3 b +9b^2.

415. 
     1) а⁴-8а² + 16; 3) 25а⁴-10а²Ь + Ь²; 2) 6⁴ -186² +81; 4) 16-8а²Ь²+а⁴Ь⁴.
     
416. 
     1) -а¹-2а-\\ 3) -2а² +8ab-8b²;
     

2) -9 + 6Ъ-Ъ²\ 4) -12а6-3а²-126².

415. 
     Ifodaning son qiymatini toping:
     

1. 
   5/и²-10/яи + 5л², bunda/и = 142, и = 42;
   
2. 
   6/и² + 12/ии + 6и², bunda т = 56, л = 44;
   
3. 
   -36а³ + 4а²6 - - ab², bunda а = 4, b = 48;
   

?

4. 
   -64а³ -Sa²b--ab², bunda а = -6, 6 = 64.
   

415. 
     Tenglamani yeching:
     

1. 
   л:² -36 = 0; 3) 4x² + 4x + l = 0;
   
2. 
   --x² =0; 4) 25-10x + x² =0.
   

4

415. 
     Hisoblang:
     

1. 
   101² — 202 - 81 + 81²; 3)
   

48 -18 85² -17²

2. 
   37 +126-37 + 63 ; 4)
   

85² +2-85 17 + 17² '

415. 
     Tushirib qoldirilgan shunday uchhadni topingki, tenglik bajarilsin:
     

1. 
   x³+/=(x+j>) (...); 3) x³-/ = (x->>) (...);
   
2. 
   (x + y)³ =(x + j>) (...); 4) (x-y)³ =(x-j>) (...).
   

415. 
     Ko‘paytuvchilarga ajrating:
     

1. 
   x³-/; 3) x³ +27; 5) и³-64; 7)1-/;
   
2. 
   c³+rf³; 4) a³-27; 6) a³ + l; 8) 125-6³. Ko‘paytuvchilarga ajrating (422—424):
   

415. 
     i) 27/и³-8; 2) 64-125/; 3) 125 + i-6³; 4) 64/+—.
     

8. 
   27 121
   

415. 
     1) 8а³+1; З)^а³+б4б⁶;
     

2) 1 + 276³; Л)\а^ь+ \25b\
О

415. 
     1) a⁹-b³; 2) a°-6^b; 3) х⁶-729; 4) 64-/.
     

Ifodani qiaqa ko' paytirish formulalai idan foydalanib, ikkihad shaklida yozing (425—426):

415. 
     1) (г+ 5) (r- 5^ + 25); 3) (2x + 3j>) (4x²-6xy+9/);
     

2. 
   (у + 2) (у² - 2у + 4); 4) (4c - 5rf) (16c² + 20cd + 25d²).
   

415. 
     1) (юя² - l)(l00fl⁴ + \0a² +1);
     

2. 
   [arb² - 5a) (a⁴6⁴ + 5a³b² + 25a²);
   

³> U^/”‘H25^{W +} J™ ⁺ "
(I 1 Vl 2 1 1 2 ⁴> ⁺6^V+9^y

415. 
     Ko'paytuvchilarga ajrating:
     

1. 
   (8a³ -21b³)-2a (4a² - 96²); 3) (a³+b³)+(a + bf\
   
2. 
   (64a³ +1256³) + 56 (l6a² -256²); 4) [a³-b³)+(a-bf.
   

415. 
     Hisoblang:
     

258³ - 147³ 17,98² - 17,98 • 32,02 + 32,02²
258² + 258 • 147 +147² * 17,98³ + 32,02³

415. 
     Ifodaning qiymatini toping:
     

1. 
   (x + 2) (л² -2x + 4)-x(x-3) (x + 3), bunda x = 2;
   
2. 
   (2x-l) (4x² + 2x + l)-4x(2x² -3), bunda x = 0,5;
   
3. 
   (4x + l) (I6x² -4x + l)-16x(4x² -5), bundax = -;
   
4. 
   x(x + 2) (x-2)-(x-3) (x² +3x+9j, bunda x = -.
   

122

415. 
     Tenglamani yeching:
     

1. 
   (x + 2) (x²-2x + 4)-x(x-3) (x + 3) = 26;
   
2. 
   (x-3) (x² +3x + 9)-x(x + 4) (x-4) = 21;
   
3. 
   (2x-l) (4x² +2x + l)-4x(2x² -3) = 23;
   
4. 
   (4x + l) (16x² -4x + l)-16x(4x² — 5) = 17. Ko‘paytuvchilarga ajrating (431—434):
   

415. 
     1) 3³-3; 2) /-у; 3) nfn-mn³; 4) 2a³-2ab².
     
416. 
     1) x^Ay²-x²y*\ 3) 8-72x⁶j>²;
     

2) 7c²d² -63c²b²; 4) 2>2ab-2a²b.

415. 
     1) 2a² +4ab + 2b²; 4) Sp² -I6p + S‘,
     

2. 
   2m² +2n²-4mn; 5) 21a²b²-18a6 + 3;
   
3. 
   5x²+10xy + 5j>²; 6) 12т⁵и + 24/я⁴л + 12т³и.
   

415. 
     1) 2c³ + 2d³\ 3) 2cd³-l6c⁴; 5) 7x²-56xV;
     

2) 54x³-16; 4) ^a²-a⁵; 6) 4о²6+32а⁵6.

415. 
     Hisoblang: 19,1² - 8,3² + 28-8,6.
     

Ko‘paytuvchilarga ajrating (436—438):

415. 
     1) (x²+l)²-4x²; 3) 4y²-(y-cf\
     

2) (x²+2x)²-1; 4) 81-(j>²+6j>)².

415. 
     i) (a² +2ab+b²)-c²; 3) l-a²-2ab-b²\
     

2. 
   1 - (x² - 2xy + y²); 4) 4 + (-x² - 2xy - y²).
   

438.1)a²-b²+a + b\ 3)x-j-x²+/; 5) m⁵-m³ +m²-1

2. 
   )a²-b²-a-b\ 4)x³+x²-x-l; 6)x⁴+x³+x + l.
   

439. 
     27—14² soni 13 ga bo‘linishini isbotlang.
     
440. 
     _n istalgan butun son bo‘lganda (7лг—2)²—(2л?—7)² ifodaning qiy­mati 5 ga bo‘linishini; 9 ga bo'linishini isbot qiling.
     
441. 
     Tenglamani yeching:
     

1. 
   (x-3) (x² + 3x + 9)-(3x-17) = x³ -12;
   
2. 
   5x-(4-2x + x²) (x + 2) + x(x-l) (x + l) = 0.
   

439. 
     Motorli qayiqning oqim bo'yicha tezligi 18 km/soat, oqimga qarshi tezligi esa 14 km/soat. Daryo oqimining tezligini va qayiqning turg‘un suvdagi tezligini toping.
     

0‘zingizni tekshirib ko'ring!
1* Ifodani standart ko'phad ko‘rinishida tasvirlang:
(a - 3)² + (a - 3 )(a + 3) + 6 a.
2* Ko‘paytuvchilarga ajrating:

1. 
   xy-2y\ 2) 16л² — 81; 3)3х²-6х^э;
   

2. 
   x²-10x + 25; 5) 3(x-l)+j(x-l); 6)2²-4ab + 2b².
   

Ko'phadni ko'paytuvchilarga ajrating va uning a = 1, 6 = -- bo'lgandagi son qiymatini toping:
a¹ -3ab+3a-9b.