Toshloq tumani

Sana:

12. 
    mash2‘ulot
    

Dars mavzusi. Qisqa ko‘paytirish formulalari.
Dars maqsadlari: o‘quvchilarga qisqa ko’paytirish formulalarini o‘rgatish,
ulaming fanga qiziqishlarini oshirish.


Darsning borishi:

1. 
   Tashkiliy qism.
   
2. 
   Qisqa ko‘paytirish formulalari.
   

Qisqa ko‘paytirish formulalari.
1. a²-b² = (a-b\a + b) ; 2. (a + b)² =a² +2ab + b² ; 3. (a-b)² =a²-2ab + b²;
4. (a + bf =a +3a²b + 3ab² +b³ ; 5. {а — ЬУ=а³—Ъа²Ь + ЪаЬ²—Ь³ ;
6. a³+b³ =(а + Ь^а²-ab + b²) ; 7. a³-b³ =(a-b^a²+ab + b²)

1. 
   misol: (a + &)² - (a - c)² = (a + b-a + c\a + b + a-c)=(b + c\2a + b-c)
   
2. 
   misol: x⁴ + 2x²y + y² = ('x² + у)²
   
3. 
   misol: 16 - 8// + <2⁴/ = (4 - а²Ь²У
   
4. 
   misol: 64-125/ = 4³-(5y)³ = (4-5/(l6 + 20y + 25y²)
   

1


5-misol: —a³ +64Z>^{5 6} = 27


Zi V


■a
Vi J


+


Ub²) =\-a + 4b^2
v ' 13 A9


V i 4
V--a6²+166⁴


3. Mustahkamlash. Test yechiladi.


TESTLAR.


1. (a-3bf- (a+b)¹ ni soddalashtiring.
A) Sb²Sab B) 8b² C) 2b²Sab


D) -Ш


E) 2b-4ab


2 . 779³+3 7 79²-221+3-779-221²+221³+10 ni soddalashtiring.
A)10000010 B)1000000010 C)1000010
D)100000010 E)100010

3. 
   (jc-1)(2-jc)+(2jc-3)² ifodani ko‘phadning standart shakliga keltiring.
   

A) 5jc +9jc—7


D) 12x+4-x²


B) 3jc -8


C) 3x-9x+7


E) 5jc-IOjc+1

4. 
   2x(x-l) - (2jc-1)(jc+1) ifodani ko‘phadning standart shakliga keltiring.
   

A) 4jc — 1


B)2jT-3jc C)3jc+1


D) 4x —5jc+1


E) —3jc+1


5. (/-/+1)(/+1 )+(y—l)(y+1) ni soddalashtirgandan keyin hosil boTgan ко‘phadning nechta hadi boTadi?


A) 3 B) 4 C) 2


D) 5


E) 6

4. 
   (x^{4 5}-x²y²+y⁴)(x²+y²) ko‘paytma o‘xshash hadlar ixchamlangandan keyin nechta qo‘shiluvchidan iborat boMadi?
   

A) 3 B) 4 C) 2 D) 5 E) 6

4. 
   (jc²+1)(jc⁴-jc²+1)+(jc³-1)² ni soddalashtirgandan keyin hosil boMgan ko‘phadning
   nechta hadi boMadi?
   

A) 5 B) 4 C) 3 D) 6 E) 2

4. 
   (y³-\)²+(y²+\)(y⁴-)^+\) ni soddalashtirgandan keyin nechta haddan iborat boMadi?
   

A) 4 B) 5 C) 6 D) 3 E) 2

4. 
   Agar (x-Xf(x+\f+2x-\ ifoda standart shakldagi ko‘phad ko‘rinishida yozilsa,
   koeffitsientlarining yigMndisi nechaga teng boMadi?
   

A) 10 B) 4 C) 2 D) 3 E) 1

4. 
   Agar (jc³-jc+1)³+jc ifoda standart shakldagi ko‘phad ko‘rinishida yozilsa, jc ning toq
   darajalari oldidagi koeffitsientlaming yigMndisi nechaga teng boMadi?
   

A) 1 B) 7 C) 4 D) 5 E) 3

4. 
   -2a¹-2b¹ ni a b va ab orqali ifodalang.
   

A) 4ab-2(a+bf B) 2(a+b)²-4ab C) 4ab+2(a+b)²
D) -4ab-2{a+bf E) 2{a+bf -2ab

4. 
   (4jc-3)²-jc(-4jc+ 1) ko‘phadni standart shaklga keltiring.
   

A) 8jc²-jc+7 B) 20jc²-25jc+9 C) 12jc²-25jc+9
D) 2jc²+jc-9 E) 12jc²-23jc+9

4. 
   m ning qanday qiymatidax(x+a)(x+4b)(x+a+4b)+\00m² ifodatoMa kvadrat
   boMadi?
   

В) C)+5ab D) to‘g‘ri javob keltirilmagan


A)±f


too


E) bunday qiymat mavjud emas
14. m ning qanday qiymatida x(x+5a)(x+2b)(x+5a+2b )+25m² ifoda toMa kvadrat
boMadi?
a²b²


A )-


25


B)±y


C) ±ab D) to ‘ g ‘ ri j avob keltirilmagan

5. 
   bunday qiymat mavjud emas
   

9. 
   m ning qanday qiymatida x(x+4a)(x+b)(x+4a+b)+m² ifoda toMa kvadrat boMadi?
   

A) +2ab B) a²b² C) ± ^ D) to ‘ g‘ ri j avob keltirilmagan
E) bunday qiymat mavjud emas 2

9. 
   b ning qanday qiymatida x² +-x + b uchhad toMa kvadrat boMadi?
   

A)


2
I





D)


9


4. Darsni yakunlash.


5. Uyga vazifa: test yechish tematik axborotnomalardan
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