Формулы сокращённого умножения

• KO’PHADNI KO’PAYTUVCHILARGA AJRATISH

SON QIYMATINI TOPING

• KO’PHADNI BIR NECHA KO’PAYTUVCHILAR KO’PAYTMASI SHAKLIDA IFODALASH.

• SON QIYMATINI TOPING
• ab + ac - ad agar a=43, b=26, c=17, d=23.
• 43.26 + 43.17 - 43.23 = 43.(26+17-23) = 43.20 = 860.

Ko’phadning har bir hadi 3b ni o’z ichiga olgan

• Ko’phadni ko’paytuvchilarga ajrating: 6ab + 3b – 12bc.

• Ko’phadning har bir hadi 3b ni o’z ichiga olgan
• 6ab = 3b . 2a,
• 3b = 3b . 1,
• -12bc = 3b . (-4c).
• Demak,
• 6ab + 3b -12bc = 3b . (2a + 1 - 4c).

• Umumiy ko’paytuvchini qavsdan chiqarish

• 5(a+b)+x(a+b)= (a+b)(5+x)
• 3x(a-2b)+5y(a-2b)+2(a-2b)=(a-2b)(3x+5y+2)

• Ba’zi hollarda quyidagi tenglikdan foydalanish o’rinli. a – b = - ( b – a )

• (a-3)x-(3-a)y = (a-3)x+(a-3)y = (a-3)(x+y)
• 15a2b(x2-y) - 20ab2(x2-y) + 25ab(y-x2) =
• = 15a2b(x2-y) - 20ab2(x2-y) - 25ab(x2-y)=
• =5ab(x2-y)(3a-4b-5)