M
a sh q l a r
402. 1)
472–372; 3) 50,72–50,62;
2) 542–442; 4) 29,42–29,32.
403.
(Og‘zaki).
Ko‘paytuvchilarga ajrating:
1) 36–x2; 2) a2–25; 3) y2–1; 4) 1–b2.
404.
(Og‘zaki).
Ifodani birhadningkvadrati shaklida tasvirlang:
100a; 0,01b2; 
m2n2; 0,25x6; 1x2; x4y6.
Ko‘paytuvchilarga
ajrating: (405–416):
405.
1) 25x2–9; 2) 4a2–9; 3) 64y2–36x2; 4) 81a2–16b2.
406.
1) c2d2–9; 2) a2b2–16; 3) 4a2–9b2; 4) 16x2–25y2.
407.
1) 
y2 –
x2; 3) 0,25a2–49b2;
2) 
a2 –
b2; 4) 0,09x2–16y2.
408.
1) 36x2y2–1; 2) x2y4–16; 3) 81a6–49b2; 4) 25a2–9b6.
409.
1) a4–b4; 2) a4–b8; 3) a4–16; 4)
b4–81.
410.
1) (a+b)2–c2; 3) (a+2b)2–9a2;
2) (m–n)2–k2; 4) (3x–y)2–4y2.
411.
1) (a+b)2–(a–c)2; 3) (2a+b)2–(2b+a)2;
2) (a+b)2–(b+c)2; 4) (a–3b)2–(3a+b)2.
412.
1) 9a2–6a+1; 3) 36b2+12b+1;
2) 1+2c+c2; 4)
81–18x+x2.
413.
1) 9x2+24x+16; 3) 36m2+12mn+n2;
2) 100–60a+9a2; 4) a2+10ab+25b2.
414.
1) x4+2x2y+y2; 3)
4c2+12c2b3+9b6;
2) p2–2pq+q2; 4) 25a6+30ab+9b2.
415.
1) a4–8a2+16; 3) 25a4–10a2b+b2;
2) b4–18b2+81; 4) 16–8a2b2+a4b4.
416.
1) –a2–2a–1; 3)
–2a2+8ab–8b2;
2) –9+6b–b2; 4) –12ab–3a2–12b2.
417.
Ifodaning son qiymatini toping:
1) 5m2+12mn+5n2; bunda m=142, n=42;
2) 6m2+12mn+6n2; bunda m=56, n=44;
3) –36a3+4a2b–ab2;
bunda a=4, b=48;
4) –64a3–8a2b–
ab2;
bunda a= –6, b=84.
418.
Tenglamani yeching:
1) x2–36=0; 3) 4x2+4x+1=0;
2) – x2 =0; 4) 25–10x+x2=0.
419.
Hisoblang:
1) 1012–202·81+812; 3) 
;
2) 372+126·37+632; 4)
.
420.
Tushirib qoldirilgan shunday uchhadni
topingki, tenglik bajarilsin:
1) x3+y3=(x+y)(…); 3) x3–y3=(x–y)(…);
2) (x+y)3=(x+y)(…); 4) (x–y)3=(x–y)(…).
421. Ko’payaytuvchilarga ajrating:
1) x3–y3;
3) x3+27;
5) n3–64;
7) 1–p3;
2) c3+d3;
4) a3–27;
6) a3+1;
8) 125–b3.
Ko‘paytuvchilarga ajrating (422–424):
422.
1) 27m3–8; 2) 64–125y3; 3) 125+
b3; 4) 64y3+
.
423.
1) 8a3+1; 2) 1+27b3; 3) a3+64b6; 4) a6+126b3.
424.
1) a9–b3; 2) a6–b6; 3) x6–729; 4)
64–y6.
Ifodani qisqa ko‘paytirish formulalaridan foydalanib, ikkihad shaklida
yozing (425–426):
425.
1) (z+5)(z2–5z+25); 3)
(2x+3y)(4x2–6xy+9y2);
2) (y+2)(y2–2y+4); 4)
(4c–5d)(16c2+20cd+25d2).
426.
1) (10a2–1)(100a4+10a2+1);
2) (a2b2–5a)(a4b4+5a3b2+25a2);
3) 
;
4) 
.
427.
Ko‘paytuvchilarga ajrating:
1) (8a3–27b3)–2a(4a2–9b2); 3) (a3+b3)+(a+b)2;
2) (64a3+125b3)+5b(16a2–25b2); 4) (a3–b3)+(a–b)2.
428.
Hisoblang:
1) 
; 2) 
.
429.
Qavslar ichiga shunday hadlar yozingki, hosil bo‘lgan ifoda x ning barcha qiymatlarida ham o‘zgarmas bo‘lsin:
1) (4x–7)2+(3x+6)2–(...–...)2;
2) (17x–2)2–(15x–6)2–(...+...)2.
430.
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–1)(4x2+2x+1)–4x(2x2–3)=23;
4) (4x+1)(16x2–4x+1)–16x(4x2–5)=17.
Ko‘paytuvchilarga ajrating (431–434):
431.
1) 3a3–3; 2)
y3–y; 3) m3n–mn3; 4) 2a3–2ab2.
432.
1) x4x2–x2x4; 3)
8–72x6y2;
2) 7c2d2–63c2b2; 4) 32a4b–2a2b.
433.
1) 2a2+4ab+2b2; 2) 2m2+2n2–4mn;
3) 5x2+10xy+5y2; 4) 8p2–16p+8;
5) 27a2b2–18ab+3; 6) 12m5n+24m4n+12m3n.
434.
1) 2c3+2d3; 2) 54x3–16; 3)
2cd3–16c2;
4) a2–a5; 5) 7–28x2y3; 6) 4a2b+32a5b.
435.
Hisoblang: 19,72–8,32+28·8,6.
436.
1) Agar n – toq son bo‘lsa, (n+2)2-1 ifodaning 8 ga;
2) ixtiyoriy natural son n da n3+12n2+23n ifodaning 6 ga
bo‘linishini isbotlang.
Ko‘paytuvchilarga ajrating (437–438):
437.
1) (a2+2ab+b2)–c2; 3)
1–a2–2ab–b2;
2) 1–(x2–2xy+y2); 4)
4+(–x2–2xy–y2).
438.
1) a2–b2+a+b; 2)
a2–b2–a–b; 3) x–y–x2+y2;
4) x3+x2–x–1; 5) m5–m3+m2–1; 6) x4+x3+x+1.
439.
272–142 soni 13 ga bo‘linishini isbotlang.
440.
n istagan
butun son bo‘lganda (7n–2)2–(2n–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–1)(x+1)=0.
442.
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.
